166155840 has 112 divisors (see below), whose sum is σ = 586191360. Its totient is φ = 44305920.

The previous prime is 166155839. The next prime is 166155851. The reversal of 166155840 is 48551661.

166155840 is a `hidden beast` number, since 1 + 6 + 61 + 558 + 40 = 666.

It is a super-2 number, since 2×166155840² = 55215526332211200, which contains 22 as substring.

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 = 166155795 and 166155804.

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 15 ways as a sum of consecutive naturals, for example, 976 + ... + 18255.

Almost surely, 2^166155840 is an apocalyptic number.

166155840 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 166155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293095680).

166155840 is an abundant number, since it is smaller than the sum of its proper divisors (420035520).

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

166155840 is a wasteful number, since it uses less digits than its factorization.

166155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19257 (or 19241 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 166155840 is about 12890.1450728842. The cubic root of 166155840 is about 549.7583952605.

The spelling of 166155840 in words is "one hundred sixty-six million, one hundred fifty-five thousand, eight hundred forty".