166502952 has 320 divisors, whose sum is σ = 602173440. Its totient is φ = 41731200.

The previous prime is 166502929. The next prime is 166502983. The reversal of 166502952 is 259205661.

166502952 is a `hidden beast` number, since 1 + 66 + 502 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2345077 + ... + 2345147.

It is an arithmetic number, because the mean of its divisors is an integer number (1881792).

Almost surely, 2^166502952 is an apocalyptic number.

166502952 is a gapful number since it is divisible by the number (12) 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 166502952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301086720).

166502952 is an abundant number, since it is smaller than the sum of its proper divisors (435670488).

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

166502952 is a wasteful number, since it uses less digits than its factorization.

166502952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 166502952 is about 12903.6022877335. The cubic root of 166502952 is about 550.1409578107.

The spelling of 166502952 in words is "one hundred sixty-six million, five hundred two thousand, nine hundred fifty-two".