167540980 has 48 divisors (see below), whose sum is σ = 357149520. Its totient is φ = 66014208.

The previous prime is 167540977. The next prime is 167540981. The reversal of 167540980 is 89045761.

It can be written as a sum of positive squares in 8 ways, for example, as 976144 + 166564836 = 988^2 + 12906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167540981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718944 + ... + 719176.

It is an arithmetic number, because the mean of its divisors is an integer number (7440615).

Almost surely, 2^167540980 is an apocalyptic number.

167540980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167540980 is an abundant number, since it is smaller than the sum of its proper divisors (189608540).

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

167540980 is a wasteful number, since it uses less digits than its factorization.

167540980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 167540980 is about 12943.7622042434. The cubic root of 167540980 is about 551.2818366614.

The spelling of 167540980 in words is "one hundred sixty-seven million, five hundred forty thousand, nine hundred eighty".