167616540 has 288 divisors, whose sum is σ = 650657280. Its totient is φ = 35271936.

The previous prime is 167616539. The next prime is 167616557. The reversal of 167616540 is 45616761.

167616540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 167616495 and 167616504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442071 + ... + 442449.

Almost surely, 2^167616540 is an apocalyptic number.

167616540 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 167616540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325328640).

167616540 is an abundant number, since it is smaller than the sum of its proper divisors (483040740).

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

167616540 is a wasteful number, since it uses less digits than its factorization.

167616540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 167616540 is about 12946.6806556739. The cubic root of 167616540 is about 551.3646991648.

The spelling of 167616540 in words is "one hundred sixty-seven million, six hundred sixteen thousand, five hundred forty".