162003564 has 60 divisors (see below), whose sum is σ = 427558824. Its totient is φ = 53485056.

The previous prime is 162003553. The next prime is 162003577. The reversal of 162003564 is 465300261.

162003564 is a `hidden beast` number, since 1 + 620 + 0 + 35 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32332 + ... + 37004.

Almost surely, 2^162003564 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 162003564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213779412).

162003564 is an abundant number, since it is smaller than the sum of its proper divisors (265555260).

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

162003564 is a wasteful number, since it uses less digits than its factorization.

162003564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 162003564 is about 12728.0620677305. The cubic root of 162003564 is about 545.1401754856.

The spelling of 162003564 in words is "one hundred sixty-two million, three thousand, five hundred sixty-four".