166746240 has 96 divisors (see below), whose sum is σ = 575815500. Its totient is φ = 44464128.

The previous prime is 166746193. The next prime is 166746277. The reversal of 166746240 is 42647661.

It can be written as a sum of positive squares in 2 ways, for example, as 153958464 + 12787776 = 12408^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 166746195 and 166746204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8715 + ... + 20234.

Almost surely, 2^166746240 is an apocalyptic number.

166746240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166746240 is an abundant number, since it is smaller than the sum of its proper divisors (409069260).

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

166746240 is a wasteful number, since it uses less digits than its factorization.

166746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28974 (or 28959 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 166746240 is about 12913.0259815428. The cubic root of 166746240 is about 550.4087760003.

The spelling of 166746240 in words is "one hundred sixty-six million, seven hundred forty-six thousand, two hundred forty".