162561564 has 108 divisors (see below), whose sum is σ = 459236232. Its totient is φ = 48438720.

The previous prime is 162561541. The next prime is 162561571. The reversal of 162561564 is 465165261.

162561564 is a `hidden beast` number, since 16 + 25 + 61 + 564 = 666.

162561564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 291574 + ... + 292130.

Almost surely, 2^162561564 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 162561564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229618116).

162561564 is an abundant number, since it is smaller than the sum of its proper divisors (296674668).

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

162561564 is a wasteful number, since it uses less digits than its factorization.

162561564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 162561564 is about 12749.9632940648. The cubic root of 162561564 is about 545.7653461747.

The spelling of 162561564 in words is "one hundred sixty-two million, five hundred sixty-one thousand, five hundred sixty-four".