61765440 has 112 divisors (see below), whose sum is σ = 213969600. Its totient is φ = 14970880.

The previous prime is 61765411. The next prime is 61765441. The reversal of 61765440 is 4456716.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61765441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636 + ... + 13484.

Almost surely, 2^61765440 is an apocalyptic number.

61765440 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 61765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984800).

61765440 is an abundant number, since it is smaller than the sum of its proper divisors (152204160).

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

61765440 is a wasteful number, since it uses less digits than its factorization.

61765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 61765440 is about 7859.0991850211. The cubic root of 61765440 is about 395.2894102914.

The spelling of 61765440 in words is "sixty-one million, seven hundred sixty-five thousand, four hundred forty".