167961600 has 297 divisors, whose sum is σ = 624480337. Its totient is φ = 44789760.

The previous prime is 167961559. The next prime is 167961631. The reversal of 167961600 is 6169761.

The square root of 167961600 is 12960.

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

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 107495424 = 7776^2 + 10368^2 .

It is a super-2 number, since 2×167961600² = 56422198149120000, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33592318 + ... + 33592322.

Almost surely, 2^167961600 is an apocalyptic number.

167961600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

167961600 is the 12960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167961600

167961600 is an abundant number, since it is smaller than the sum of its proper divisors (456518737).

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

167961600 is an frugal number, since it uses more digits than its factorization.

167961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 167961600 is about 551.7427913234.

Multiplying 167961600 by its sum of digits (36), we get a square (6046617600 = 77760²).

167961600 divided by its sum of digits (36) gives a square (4665600 = 2160²).

The spelling of 167961600 in words is "one hundred sixty-seven million, nine hundred sixty-one thousand, six hundred".