161924400 has 480 divisors, whose sum is σ = 664243200. Its totient is φ = 37094400.

The previous prime is 161924383. The next prime is 161924401. The reversal of 161924400 is 4429161.

161924400 is a `hidden beast` number, since 1 + 619 + 2 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×161924400² = 52439022630720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (161924401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3445177 + ... + 3445223.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 2^161924400 is an apocalyptic number.

161924400 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 161924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332121600).

161924400 is an abundant number, since it is smaller than the sum of its proper divisors (502318800).

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

161924400 is a wasteful number, since it uses less digits than its factorization.

161924400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161924400 is about 12724.9518663137. The cubic root of 161924400 is about 545.0513656943.

The spelling of 161924400 in words is "one hundred sixty-one million, nine hundred twenty-four thousand, four hundred".