45960192 has 66 divisors (see below), whose sum is σ = 132735668. Its totient is φ = 15316992.

The previous prime is 45960121. The next prime is 45960203. The reversal of 45960192 is 29106954.

45960192 is a `hidden beast` number, since 45 + 9 + 601 + 9 + 2 = 666.

It is a super-2 number, since 2×45960192² = 4224678497353728, 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 5 ways as a sum of consecutive naturals, for example, 6723 + ... + 11709.

Almost surely, 2^45960192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66367834).

45960192 is an abundant number, since it is smaller than the sum of its proper divisors (86775476).

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

45960192 is a wasteful number, since it uses less digits than its factorization.

45960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 4992 counting only the distinct ones).

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

The square root of 45960192 is about 6779.3946632424. The cubic root of 45960192 is about 358.2013993232.

The spelling of 45960192 in words is "forty-five million, nine hundred sixty thousand, one hundred ninety-two".