167000540 has 48 divisors (see below), whose sum is σ = 402628800. Its totient is φ = 56996352.

The previous prime is 167000513. The next prime is 167000543. The reversal of 167000540 is 45000761.

167000540 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

167000540 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167000543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29456 + ... + 34664.

It is an arithmetic number, because the mean of its divisors is an integer number (8388100).

Almost surely, 2^167000540 is an apocalyptic number.

167000540 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 167000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201314400).

167000540 is an abundant number, since it is smaller than the sum of its proper divisors (235628260).

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

167000540 is a wasteful number, since it uses less digits than its factorization.

167000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 167000540 is about 12922.8688765305. The cubic root of 167000540 is about 550.6884381939.

The spelling of 167000540 in words is "one hundred sixty-seven million, five hundred forty", and thus it is an aban number.