166892040 has 144 divisors (see below), whose sum is σ = 631020780. Its totient is φ = 38142720.

The previous prime is 166892023. The next prime is 166892053. The reversal of 166892040 is 40298661.

It can be written as a sum of positive squares in 2 ways, for example, as 166255236 + 636804 = 12894^2 + 798^2 .

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 = 166891986 and 166892004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12910 + ... + 22370.

Almost surely, 2^166892040 is an apocalyptic number.

166892040 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 166892040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315510390).

166892040 is an abundant number, since it is smaller than the sum of its proper divisors (464128740).

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

166892040 is a wasteful number, since it uses less digits than its factorization.

166892040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 166892040 is about 12918.6702102035. The cubic root of 166892040 is about 550.5691518730.

The spelling of 166892040 in words is "one hundred sixty-six million, eight hundred ninety-two thousand, forty".