45692064 has 72 divisors (see below), whose sum is σ = 141759072. Its totient is φ = 13845120.

The previous prime is 45692051. The next prime is 45692083. The reversal of 45692064 is 46029654.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4044 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (1968876).

Almost surely, 2^45692064 is an apocalyptic number.

45692064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45692064 is an abundant number, since it is smaller than the sum of its proper divisors (96067008).

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

45692064 is a wasteful number, since it uses less digits than its factorization.

45692064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14450 (or 14439 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45692064 is about 6759.5905201425. The cubic root of 45692064 is about 357.5034677806.

The spelling of 45692064 in words is "forty-five million, six hundred ninety-two thousand, sixty-four".