45677560 has 32 divisors (see below), whose sum is σ = 104189040. Its totient is φ = 18019584.

The previous prime is 45677549. The next prime is 45677587. The reversal of 45677560 is 6577654.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4902 + ... + 10741.

Almost surely, 2^45677560 is an apocalyptic number.

45677560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45677560 is an abundant number, since it is smaller than the sum of its proper divisors (58511480).

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

45677560 is a wasteful number, since it uses less digits than its factorization.

45677560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15727 (or 15723 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 45677560 is about 6758.5175889392. The cubic root of 45677560 is about 357.4656364186.

The spelling of 45677560 in words is "forty-five million, six hundred seventy-seven thousand, five hundred sixty".