61524864 has 48 divisors (see below), whose sum is σ = 177047520. Its totient is φ = 20507904.

The previous prime is 61524851. The next prime is 61524871. The reversal of 61524864 is 46842516.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25552 + ... + 27855.

It is an arithmetic number, because the mean of its divisors is an integer number (3688490).

Almost surely, 2^61524864 is an apocalyptic number.

61524864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61524864 is an abundant number, since it is smaller than the sum of its proper divisors (115522656).

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

61524864 is a wasteful number, since it uses less digits than its factorization.

61524864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53427 (or 53412 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 61524864 is about 7843.7786812225. The cubic root of 61524864 is about 394.7755259324.

The spelling of 61524864 in words is "sixty-one million, five hundred twenty-four thousand, eight hundred sixty-four".