161526400 has 96 divisors (see below), whose sum is σ = 456086880. Its totient is φ = 55372800.

The previous prime is 161526397. The next prime is 161526413. The reversal of 161526400 is 4625161.

161526400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18795 + ... + 26005.

It is an arithmetic number, because the mean of its divisors is an integer number (4750905).

Almost surely, 2^161526400 is an apocalyptic number.

161526400 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 161526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228043440).

161526400 is an abundant number, since it is smaller than the sum of its proper divisors (294560480).

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

161526400 is an equidigital number, since it uses as much as digits as its factorization.

161526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 161526400 is about 12709.3036788016. The cubic root of 161526400 is about 544.6044319803.

The spelling of 161526400 in words is "one hundred sixty-one million, five hundred twenty-six thousand, four hundred".