167946144 has 24 divisors (see below), whose sum is σ = 440858880. Its totient is φ = 55982016.

The previous prime is 167946131. The next prime is 167946157. The reversal of 167946144 is 441649761.

It is an interprime number because it is at equal distance from previous prime (167946131) and next prime (167946157).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 167946096 and 167946105.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 874624 + ... + 874815.

It is an arithmetic number, because the mean of its divisors is an integer number (18369120).

Almost surely, 2^167946144 is an apocalyptic number.

It is an amenable number.

167946144 is an abundant number, since it is smaller than the sum of its proper divisors (272912736).

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

167946144 is a wasteful number, since it uses less digits than its factorization.

167946144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749452 (or 1749444 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 167946144 is about 12959.4036899851. The cubic root of 167946144 is about 551.7258668236.

The spelling of 167946144 in words is "one hundred sixty-seven million, nine hundred forty-six thousand, one hundred forty-four".