45360756 has 96 divisors (see below), whose sum is σ = 139104000. Its totient is φ = 12507264.

The previous prime is 45360751. The next prime is 45360767. The reversal of 45360756 is 65706354.

45360756 is a `hidden beast` number, since 45 + 3 + 607 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45360756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45360751) 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, 20890 + ... + 22958.

It is an arithmetic number, because the mean of its divisors is an integer number (1449000).

Almost surely, 2^45360756 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 45360756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69552000).

45360756 is an abundant number, since it is smaller than the sum of its proper divisors (93743244).

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

45360756 is a wasteful number, since it uses less digits than its factorization.

45360756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45360756 is about 6735.0394208200. The cubic root of 45360756 is about 356.6372984621.

The spelling of 45360756 in words is "forty-five million, three hundred sixty thousand, seven hundred fifty-six".