61632864 has 36 divisors (see below), whose sum is σ = 175269276. Its totient is φ = 20544192.

The previous prime is 61632863. The next prime is 61632931. The reversal of 61632864 is 46823616.

61632864 is a `hidden beast` number, since 616 + 32 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×61632864⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61632863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106714 + ... + 107289.

It is an arithmetic number, because the mean of its divisors is an integer number (4868591).

Almost surely, 2^61632864 is an apocalyptic number.

It is an amenable number.

61632864 is an abundant number, since it is smaller than the sum of its proper divisors (113636412).

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

61632864 is a wasteful number, since it uses less digits than its factorization.

61632864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214019 (or 214008 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 61632864 is about 7850.6600996349. The cubic root of 61632864 is about 395.0063856256.

The spelling of 61632864 in words is "sixty-one million, six hundred thirty-two thousand, eight hundred sixty-four".