161626800 has 90 divisors (see below), whose sum is σ = 519159108. Its totient is φ = 42983040.

The previous prime is 161626799. The next prime is 161626853. The reversal of 161626800 is 8626161.

It is a super-2 number, since 2×161626800² = 52246444956480000, 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 17 ways as a sum of consecutive naturals, for example, 440217 + ... + 440583.

Almost surely, 2^161626800 is an apocalyptic number.

161626800 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 161626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259579554).

161626800 is an abundant number, since it is smaller than the sum of its proper divisors (357532308).

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

161626800 is an equidigital number, since it uses as much as digits as its factorization.

161626800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 161626800 is about 12713.2529275556. The cubic root of 161626800 is about 544.7172452419.

The spelling of 161626800 in words is "one hundred sixty-one million, six hundred twenty-six thousand, eight hundred".