46506564 has 72 divisors (see below), whose sum is σ = 129601472. Its totient is φ = 13970880.

The previous prime is 46506563. The next prime is 46506569. The reversal of 46506564 is 46560564.

It is a happy number.

46506564 is a `hidden beast` number, since 46 + 50 + 6 + 564 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46506563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18969 + ... + 21279.

Almost surely, 2^46506564 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 46506564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800736).

46506564 is an abundant number, since it is smaller than the sum of its proper divisors (83094908).

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

46506564 is a wasteful number, since it uses less digits than its factorization.

46506564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 46506564 is about 6819.5721273405. The cubic root of 46506564 is about 359.6152370654.

The spelling of 46506564 in words is "forty-six million, five hundred six thousand, five hundred sixty-four".