162361920 has 224 divisors, whose sum is σ = 605991168. Its totient is φ = 36052992.

The previous prime is 162361889. The next prime is 162361933. The reversal of 162361920 is 29163261.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×162361920² = 52722786132172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248314 + ... + 248966.

Almost surely, 2^162361920 is an apocalyptic number.

162361920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302995584).

162361920 is an abundant number, since it is smaller than the sum of its proper divisors (443629248).

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

162361920 is a wasteful number, since it uses less digits than its factorization.

162361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 162361920 is about 12742.1316897919. The cubic root of 162361920 is about 545.5418341113.

The spelling of 162361920 in words is "one hundred sixty-two million, three hundred sixty-one thousand, nine hundred twenty".