45689760 has 72 divisors (see below), whose sum is σ = 155921220. Its totient is φ = 12183552.

The previous prime is 45689759. The next prime is 45689767. The reversal of 45689760 is 6798654.

It can be written as a sum of positive squares in 2 ways, for example, as 43718544 + 1971216 = 6612^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45689767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14425 + ... + 17304.

Almost surely, 2^45689760 is an apocalyptic number.

45689760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45689760 is an abundant number, since it is smaller than the sum of its proper divisors (110231460).

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

45689760 is a wasteful number, since it uses less digits than its factorization.

45689760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31750 (or 31739 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 45689760 is about 6759.4200934696. The cubic root of 45689760 is about 357.4974587004.

The spelling of 45689760 in words is "forty-five million, six hundred eighty-nine thousand, seven hundred sixty".