166829432 has 128 divisors (see below), whose sum is σ = 419904000. Its totient is φ = 60149760.

The previous prime is 166829423. The next prime is 166829441. The reversal of 166829432 is 234928661.

It is an interprime number because it is at equal distance from previous prime (166829423) and next prime (166829441).

It is a self number, because there is not a number n which added to its sum of digits gives 166829432.

It is a congruent number.

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, 931919 + ... + 932097.

It is an arithmetic number, because the mean of its divisors is an integer number (3280500).

Almost surely, 2^166829432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166829432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209952000).

166829432 is an abundant number, since it is smaller than the sum of its proper divisors (253074568).

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

166829432 is a wasteful number, since it uses less digits than its factorization.

166829432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 166829432 is about 12916.2468232842. The cubic root of 166829432 is about 550.5002962928.

The spelling of 166829432 in words is "one hundred sixty-six million, eight hundred twenty-nine thousand, four hundred thirty-two".