161974400 has 144 divisors (see below), whose sum is σ = 465904890. Its totient is φ = 55480320.

The previous prime is 161974399. The next prime is 161974433. The reversal of 161974400 is 4479161.

161974400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 153165376 + 8809024 = 12376^2 + 2968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 156284 + ... + 157316.

Almost surely, 2^161974400 is an apocalyptic number.

161974400 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 161974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232952445).

161974400 is an abundant number, since it is smaller than the sum of its proper divisors (303930490).

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

161974400 is a wasteful number, since it uses less digits than its factorization.

161974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 161974400 is about 12726.9163586471. The cubic root of 161974400 is about 545.1074613449.

The spelling of 161974400 in words is "one hundred sixty-one million, nine hundred seventy-four thousand, four hundred".