45644160 has 64 divisors (see below), whose sum is σ = 145496880. Its totient is φ = 12171264.

The previous prime is 45644149. The next prime is 45644171. The reversal of 45644160 is 6144654.

It is an interprime number because it is at equal distance from previous prime (45644149) and next prime (45644171).

It is a tau number, because it is divible by the number of its divisors (64).

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

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 7 ways as a sum of consecutive naturals, for example, 9967 + ... + 13806.

Almost surely, 2^45644160 is an apocalyptic number.

45644160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45644160 is an abundant number, since it is smaller than the sum of its proper divisors (99852720).

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

45644160 is a wasteful number, since it uses less digits than its factorization.

45644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23795 (or 23783 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45644160 is about 6756.0461810145. The cubic root of 45644160 is about 357.3784874005.

The spelling of 45644160 in words is "forty-five million, six hundred forty-four thousand, one hundred sixty".