161604240 has 320 divisors, whose sum is σ = 617103360. Its totient is φ = 34191360.

The previous prime is 161604239. The next prime is 161604257. The reversal of 161604240 is 42406161.

It is a super-2 number, since 2×161604240² = 52231860771955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 161604240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1510267 + ... + 1510373.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 2^161604240 is an apocalyptic number.

161604240 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 161604240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308551680).

161604240 is an abundant number, since it is smaller than the sum of its proper divisors (455499120).

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

161604240 is a wasteful number, since it uses less digits than its factorization.

161604240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 161604240 is about 12712.3656335082. The cubic root of 161604240 is about 544.6919000375.

The spelling of 161604240 in words is "one hundred sixty-one million, six hundred four thousand, two hundred forty".