162400896 has 256 divisors, whose sum is σ = 563040000. Its totient is φ = 46061568.

The previous prime is 162400879. The next prime is 162400919. The reversal of 162400896 is 698004261.

162400896 is a `hidden beast` number, since 162 + 400 + 8 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 162400896.

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, 1185340 + ... + 1185476.

It is an arithmetic number, because the mean of its divisors is an integer number (2199375).

Almost surely, 2^162400896 is an apocalyptic number.

162400896 is a gapful number since it is divisible by the number (16) 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 162400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281520000).

162400896 is an abundant number, since it is smaller than the sum of its proper divisors (400639104).

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

162400896 is an equidigital number, since it uses as much as digits as its factorization.

162400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 162400896 is about 12743.6610124407. The cubic root of 162400896 is about 545.5854842014.

The spelling of 162400896 in words is "one hundred sixty-two million, four hundred thousand, eight hundred ninety-six".