45585936 has 160 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 13478400.

The previous prime is 45585919. The next prime is 45585949. The reversal of 45585936 is 63958554.

45585936 is a `hidden beast` number, since 4 + 5 + 58 + 593 + 6 = 666.

It is a super-3 number, since 3×45585936³ (a number of 24 digits) contains 333 as substring.

Its product of digits (648000) is a multiple of the sum of its prime divisors (250).

It is a junction number, because it is equal to n+sod(n) for n = 45585891 and 45585900.

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, 251766 + ... + 251946.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^45585936 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 45585936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

45585936 is an abundant number, since it is smaller than the sum of its proper divisors (100654704).

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

45585936 is a wasteful number, since it uses less digits than its factorization.

45585936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 45585936 is about 6751.7357768207. The cubic root of 45585936 is about 357.2264646011.

The spelling of 45585936 in words is "forty-five million, five hundred eighty-five thousand, nine hundred thirty-six".