45967610 has 64 divisors (see below), whose sum is σ = 93895200. Its totient is φ = 16084992.

The previous prime is 45967583. The next prime is 45967613. The reversal of 45967610 is 1676954.

It can be written as a sum of positive squares in 16 ways, for example, as 12769 + 45954841 = 113^2 + 6779^2 .

It is a super-2 number, since 2×45967610² = 4226042338224200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45967613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335462 + ... + 335598.

Almost surely, 2^45967610 is an apocalyptic number.

45967610 is an abundant number, since it is smaller than the sum of its proper divisors (47927590).

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

45967610 is a wasteful number, since it uses less digits than its factorization.

45967610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 45967610 is about 6779.9417401627. The cubic root of 45967610 is about 358.2206695868.

The spelling of 45967610 in words is "forty-five million, nine hundred sixty-seven thousand, six hundred ten".