45961920 has 84 divisors (see below), whose sum is σ = 158099760. Its totient is φ = 12255744.

The previous prime is 45961913. The next prime is 45961939. The reversal of 45961920 is 2916954.

It is a super-2 number, since 2×45961920² = 4224996180172800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5100 + ... + 10859.

It is an arithmetic number, because the mean of its divisors is an integer number (1882140).

Almost surely, 2^45961920 is an apocalyptic number.

45961920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45961920 is an abundant number, since it is smaller than the sum of its proper divisors (112137840).

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

45961920 is a wasteful number, since it uses less digits than its factorization.

45961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15982 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 45961920 is about 6779.5221070515. The cubic root of 45961920 is about 358.2058884563.

The spelling of 45961920 in words is "forty-five million, nine hundred sixty-one thousand, nine hundred twenty".