161798400 has 243 divisors, whose sum is σ = 589586179. Its totient is φ = 42332160.

The previous prime is 161798359. The next prime is 161798407. The reversal of 161798400 is 4897161.

161798400 = 1³ + 2³ + ... + 159³.

The square root of 161798400 is 12720.

It is a perfect power (a square), and thus also a powerful number.

161798400 is a `hidden beast` number, since 161 + 7 + 98 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 160579584 = 1104^2 + 12672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161798407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3052774 + ... + 3052826.

Almost surely, 2^161798400 is an apocalyptic number.

161798400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161798400 is the 12720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161798400

161798400 is an abundant number, since it is smaller than the sum of its proper divisors (427787779).

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

161798400 is an equidigital number, since it uses as much as digits as its factorization.

161798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 161798400 is about 544.9099534198.

Multiplying 161798400 by its sum of digits (36), we get a square (5824742400 = 76320²).

161798400 divided by its sum of digits (36) gives a square (4494400 = 2120²).

The spelling of 161798400 in words is "one hundred sixty-one million, seven hundred ninety-eight thousand, four hundred".