162822400 has 216 divisors, whose sum is σ = 461289920. Its totient is φ = 56401920.

The previous prime is 162822377. The next prime is 162822421. The reversal of 162822400 is 4228261.

It is a happy number.

It is a super-2 number, since 2×162822400² = 53022267883520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580749 + ... + 1580851.

Almost surely, 2^162822400 is an apocalyptic number.

162822400 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 162822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230644960).

162822400 is an abundant number, since it is smaller than the sum of its proper divisors (298467520).

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

162822400 is a wasteful number, since it uses less digits than its factorization.

162822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 162822400 is about 12760.1880863881. The cubic root of 162822400 is about 546.0570903732.

It can be divided in two parts, 16 and 2822400, that multiplied together give a square (45158400 = 6720²).

The spelling of 162822400 in words is "one hundred sixty-two million, eight hundred twenty-two thousand, four hundred".