189831312 has 240 divisors, whose sum is σ = 617460480. Its totient is φ = 53913600.

The previous prime is 189831307. The next prime is 189831371. The reversal of 189831312 is 213138981.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402889 + ... + 2402967.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^189831312 is an apocalyptic number.

189831312 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 189831312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308730240).

189831312 is an abundant number, since it is smaller than the sum of its proper divisors (427629168).

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

189831312 is a wasteful number, since it uses less digits than its factorization.

189831312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 189831312 is about 13777.9284364523. The cubic root of 189831312 is about 574.7195224402.

The spelling of 189831312 in words is "one hundred eighty-nine million, eight hundred thirty-one thousand, three hundred twelve".