46920564 has 72 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 15035520.

The previous prime is 46920553. The next prime is 46920581. The reversal of 46920564 is 46502964.

46920564 is a `hidden beast` number, since 4 + 6 + 92 + 0 + 564 = 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, 122317 + ... + 122699.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2^46920564 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 46920564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

46920564 is an abundant number, since it is smaller than the sum of its proper divisors (76361868).

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

46920564 is a wasteful number, since it uses less digits than its factorization.

46920564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

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

The square root of 46920564 is about 6849.8586846737. The cubic root of 46920564 is about 360.6791808056.

The spelling of 46920564 in words is "forty-six million, nine hundred twenty thousand, five hundred sixty-four".