167538960 has 240 divisors, whose sum is σ = 610109760. Its totient is φ = 41057280.

The previous prime is 167538949. The next prime is 167538983. The reversal of 167538960 is 69835761.

167538960 = 93² + 94² + ... + 795².

It is a happy number.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505995 + ... + 506325.

It is an arithmetic number, because the mean of its divisors is an integer number (2542124).

Almost surely, 2^167538960 is an apocalyptic number.

167538960 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 167538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305054880).

167538960 is an abundant number, since it is smaller than the sum of its proper divisors (442570800).

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

167538960 is a wasteful number, since it uses less digits than its factorization.

167538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 167538960 is about 12943.6841741445. The cubic root of 167538960 is about 551.2796210964.

The spelling of 167538960 in words is "one hundred sixty-seven million, five hundred thirty-eight thousand, nine hundred sixty".