61506624 has 56 divisors (see below), whose sum is σ = 163311840. Its totient is φ = 20429824.

The previous prime is 61506619. The next prime is 61506673. The reversal of 61506624 is 42660516.

It is a junction number, because it is equal to n+sod(n) for n = 61506591 and 61506600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107812 + ... + 108380.

Almost surely, 2^61506624 is an apocalyptic number.

61506624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61506624 is an abundant number, since it is smaller than the sum of its proper divisors (101805216).

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

61506624 is a wasteful number, since it uses less digits than its factorization.

61506624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 61506624 is about 7842.6158901224. The cubic root of 61506624 is about 394.7365096343.

The spelling of 61506624 in words is "sixty-one million, five hundred six thousand, six hundred twenty-four".