161607600 has 540 divisors, whose sum is σ = 717797808. Its totient is φ = 32947200.

The previous prime is 161607577. The next prime is 161607613. The reversal of 161607600 is 6706161.

161607600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161607600² = 52234032755520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3049174 + ... + 3049226.

Almost surely, 2^161607600 is an apocalyptic number.

161607600 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 161607600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358898904).

161607600 is an abundant number, since it is smaller than the sum of its proper divisors (556190208).

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

161607600 is a wasteful number, since it uses less digits than its factorization.

161607600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 161607600 is about 12712.4977876104. The cubic root of 161607600 is about 544.6956750047.

The spelling of 161607600 in words is "one hundred sixty-one million, six hundred seven thousand, six hundred".