166477632 has 84 divisors (see below), whose sum is σ = 456626976. Its totient is φ = 53527040.

The previous prime is 166477631. The next prime is 166477637. The reversal of 166477632 is 236774661.

It is a happy number.

166477632 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166477631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160957 + ... + 161987.

Almost surely, 2^166477632 is an apocalyptic number.

166477632 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 166477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228313488).

166477632 is an abundant number, since it is smaller than the sum of its proper divisors (290149344).

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

166477632 is a wasteful number, since it uses less digits than its factorization.

166477632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1065 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 166477632 is about 12902.6211290575. The cubic root of 166477632 is about 550.1130698663.

The spelling of 166477632 in words is "one hundred sixty-six million, four hundred seventy-seven thousand, six hundred thirty-two".