167856480 has 144 divisors (see below), whose sum is σ = 624942864. Its totient is φ = 40688640.

The previous prime is 167856473. The next prime is 167856499. The reversal of 167856480 is 84658761.

It is a happy number.

167856480 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10542 + ... + 21138.

It is an arithmetic number, because the mean of its divisors is an integer number (4339881).

Almost surely, 2^167856480 is an apocalyptic number.

167856480 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 167856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312471432).

167856480 is an abundant number, since it is smaller than the sum of its proper divisors (457086384).

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

167856480 is a wasteful number, since it uses less digits than its factorization.

167856480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10629 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 167856480 is about 12955.9438096960. The cubic root of 167856480 is about 551.6276632104.

The spelling of 167856480 in words is "one hundred sixty-seven million, eight hundred fifty-six thousand, four hundred eighty".