45267936 has 192 divisors, whose sum is σ = 146313216. Its totient is φ = 11980800.

The previous prime is 45267907. The next prime is 45267941. The reversal of 45267936 is 63976254.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854086 + ... + 854138.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 2^45267936 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 45267936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156608).

45267936 is an abundant number, since it is smaller than the sum of its proper divisors (101045280).

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

45267936 is a wasteful number, since it uses less digits than its factorization.

45267936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 45267936 is about 6728.1450638345. The cubic root of 45267936 is about 356.3938745434.

The spelling of 45267936 in words is "forty-five million, two hundred sixty-seven thousand, nine hundred thirty-six".