167947920 has 240 divisors, whose sum is σ = 659243520. Its totient is φ = 37518336.

The previous prime is 167947907. The next prime is 167947943. The reversal of 167947920 is 29749761.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×167947920³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236526 + ... + 237234.

It is an arithmetic number, because the mean of its divisors is an integer number (2746848).

Almost surely, 2^167947920 is an apocalyptic number.

167947920 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 167947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329621760).

167947920 is an abundant number, since it is smaller than the sum of its proper divisors (491295600).

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

167947920 is a wasteful number, since it uses less digits than its factorization.

167947920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 167947920 is about 12959.4722114753. The cubic root of 167947920 is about 551.7278116171.

The spelling of 167947920 in words is "one hundred sixty-seven million, nine hundred forty-seven thousand, nine hundred twenty".