189931296 has 96 divisors (see below), whose sum is σ = 541900800. Its totient is φ = 58026240.

The previous prime is 189931243. The next prime is 189931303. The reversal of 189931296 is 692139981.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54865 + ... + 58223.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2^189931296 is an apocalyptic number.

189931296 is a gapful number since it is divisible by the number (16) 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 189931296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270950400).

189931296 is an abundant number, since it is smaller than the sum of its proper divisors (351969504).

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

189931296 is a wasteful number, since it uses less digits than its factorization.

189931296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3414 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 189931296 is about 13781.5563707442. The cubic root of 189931296 is about 574.8204061679.

The spelling of 189931296 in words is "one hundred eighty-nine million, nine hundred thirty-one thousand, two hundred ninety-six".