61759440 has 120 divisors (see below), whose sum is σ = 214176768. Its totient is φ = 15932160.

The previous prime is 61759433. The next prime is 61759447. The reversal of 61759440 is 4495716.

61759440 is a `hidden beast` number, since 61 + 7 + 594 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61759433) and next prime (61759447).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×61759440² = 7628456858227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61759395 and 61759404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61759447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20937 + ... + 23703.

Almost surely, 2^61759440 is an apocalyptic number.

61759440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107088384).

61759440 is an abundant number, since it is smaller than the sum of its proper divisors (152417328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61759440 is a wasteful number, since it uses less digits than its factorization.

61759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61759440 is about 7858.7174526127. The cubic root of 61759440 is about 395.2766101815.

The spelling of 61759440 in words is "sixty-one million, seven hundred fifty-nine thousand, four hundred forty".