166932480 has 416 divisors, whose sum is σ = 660522240. Its totient is φ = 35389440.

The previous prime is 166932473. The next prime is 166932529. The reversal of 166932480 is 84239661.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8785911 + ... + 8785929.

Almost surely, 2^166932480 is an apocalyptic number.

166932480 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 166932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330261120).

166932480 is an abundant number, since it is smaller than the sum of its proper divisors (493589760).

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

166932480 is a wasteful number, since it uses less digits than its factorization.

166932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 166932480 is about 12920.2352919751. The cubic root of 166932480 is about 550.6136181807.

The spelling of 166932480 in words is "one hundred sixty-six million, nine hundred thirty-two thousand, four hundred eighty".