45933660 has 108 divisors (see below), whose sum is σ = 148177848. Its totient is φ = 11515392.

The previous prime is 45933623. The next prime is 45933707. The reversal of 45933660 is 6633954.

45933660 is a `hidden beast` number, since 4 + 593 + 3 + 6 + 60 = 666.

It is a super-2 number, since 2×45933660² = 4219802241991200, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 51579 + ... + 52461.

Almost surely, 2^45933660 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 45933660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088924).

45933660 is an abundant number, since it is smaller than the sum of its proper divisors (102244188).

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

45933660 is a wasteful number, since it uses less digits than its factorization.

45933660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 45933660 is about 6777.4375688751. The cubic root of 45933660 is about 358.1324582934.

The spelling of 45933660 in words is "forty-five million, nine hundred thirty-three thousand, six hundred sixty".