61760640 has 128 divisors (see below), whose sum is σ = 207345600. Its totient is φ = 15593472.

The previous prime is 61760627. The next prime is 61760651. The reversal of 61760640 is 4606716.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61760598 and 61760607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35634 + ... + 37326.

Almost surely, 2^61760640 is an apocalyptic number.

61760640 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 61760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103672800).

61760640 is an abundant number, since it is smaller than the sum of its proper divisors (145584960).

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

61760640 is a wasteful number, since it uses less digits than its factorization.

61760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 61760640 is about 7858.7938005778. The cubic root of 61760640 is about 395.2791702698.

The spelling of 61760640 in words is "sixty-one million, seven hundred sixty thousand, six hundred forty".