162015984 has 160 divisors (see below), whose sum is σ = 530591040. Its totient is φ = 46891008.

The previous prime is 162015961. The next prime is 162015989. The reversal of 162015984 is 489510261.

162015984 is a `hidden beast` number, since 1 + 62 + 0 + 1 + 598 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162015989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94624 + ... + 96320.

It is an arithmetic number, because the mean of its divisors is an integer number (3316194).

Almost surely, 2^162015984 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 162015984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265295520).

162015984 is an abundant number, since it is smaller than the sum of its proper divisors (368575056).

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

162015984 is a wasteful number, since it uses less digits than its factorization.

162015984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 162015984 is about 12728.5499566918. The cubic root of 162015984 is about 545.1541061832.

The spelling of 162015984 in words is "one hundred sixty-two million, fifteen thousand, nine hundred eighty-four".