161162400 has 288 divisors, whose sum is σ = 614210688. Its totient is φ = 35942400.

The previous prime is 161162399. The next prime is 161162411. The reversal of 161162400 is 4261161.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 890310 + ... + 890490.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^161162400 is an apocalyptic number.

161162400 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 161162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

161162400 is an abundant number, since it is smaller than the sum of its proper divisors (453048288).

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

161162400 is a wasteful number, since it uses less digits than its factorization.

161162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 161162400 is about 12694.9753839856. The cubic root of 161162400 is about 544.1950353154.

The spelling of 161162400 in words is "one hundred sixty-one million, one hundred sixty-two thousand, four hundred".