45764560 has 40 divisors (see below), whose sum is σ = 109285416. Its totient is φ = 17809920.

The previous prime is 45764557. The next prime is 45764591. The reversal of 45764560 is 6546754.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6677056 + 39087504 = 2584^2 + 6252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4771 + ... + 10690.

Almost surely, 2^45764560 is an apocalyptic number.

45764560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45764560 is an abundant number, since it is smaller than the sum of its proper divisors (63520856).

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

45764560 is a wasteful number, since it uses less digits than its factorization.

45764560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15511 (or 15505 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 45764560 is about 6764.9508497845. The cubic root of 45764560 is about 357.6924420727.

The spelling of 45764560 in words is "forty-five million, seven hundred sixty-four thousand, five hundred sixty".