166836480 has 144 divisors (see below), whose sum is σ = 556295040. Its totient is φ = 42532864.

The previous prime is 166836443. The next prime is 166836497. The reversal of 166836480 is 84638661.

It is a happy number.

It is a super-2 number, since 2×166836480² = 55668822117580800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87376 + ... + 89264.

It is an arithmetic number, because the mean of its divisors is an integer number (3863160).

Almost surely, 2^166836480 is an apocalyptic number.

166836480 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 166836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147520).

166836480 is an abundant number, since it is smaller than the sum of its proper divisors (389458560).

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

166836480 is a wasteful number, since it uses less digits than its factorization.

166836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 166836480 is about 12916.5196550774. The cubic root of 166836480 is about 550.5080484650.

The spelling of 166836480 in words is "one hundred sixty-six million, eight hundred thirty-six thousand, four hundred eighty".