45673164 has 72 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 14780640.

The previous prime is 45673123. The next prime is 45673171. The reversal of 45673164 is 46137654.

45673164 = T₃₄₇ + T₃₄₈ + ... + T₆₈₀.

It is a happy number.

45673164 is a `hidden beast` number, since 4 + 567 + 31 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273409 + ... + 273575.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^45673164 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 45673164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

45673164 is an abundant number, since it is smaller than the sum of its proper divisors (73206324).

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

45673164 is a wasteful number, since it uses less digits than its factorization.

45673164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45673164 is about 6758.1923618672. The cubic root of 45673164 is about 357.4541685749.

The spelling of 45673164 in words is "forty-five million, six hundred seventy-three thousand, one hundred sixty-four".