166590945 has 32 divisors (see below), whose sum is σ = 296697600. Its totient is φ = 88687872.

The previous prime is 166590943. The next prime is 166590947. The reversal of 166590945 is 549095661.

It is a happy number.

166590945 is a `hidden beast` number, since 16 + 6 + 590 + 9 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (166590943) and next prime (166590947).

It is not a de Polignac number, because 166590945 - 2¹ = 166590943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 166590945.

It is not an unprimeable number, because it can be changed into a prime (166590943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135604 + ... + 136826.

It is an arithmetic number, because the mean of its divisors is an integer number (9271800).

Almost surely, 2^166590945 is an apocalyptic number.

166590945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166590945 is a deficient number, since it is larger than the sum of its proper divisors (130106655).

166590945 is a wasteful number, since it uses less digits than its factorization.

166590945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 166590945 is about 12907.0114666409. The cubic root of 166590945 is about 550.2378530461.

The spelling of 166590945 in words is "one hundred sixty-six million, five hundred ninety thousand, nine hundred forty-five".