189296640 has 312 divisors, whose sum is σ = 715565760. Its totient is φ = 46006272.

The previous prime is 189296629. The next prime is 189296651. The reversal of 189296640 is 46692981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189296629) and next prime (189296651).

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396121 + ... + 2396199.

It is an arithmetic number, because the mean of its divisors is an integer number (2293480).

Almost surely, 2^189296640 is an apocalyptic number.

189296640 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 189296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357782880).

189296640 is an abundant number, since it is smaller than the sum of its proper divisors (526269120).

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

189296640 is a wasteful number, since it uses less digits than its factorization.

189296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 189296640 is about 13758.5115474022. The cubic root of 189296640 is about 574.1794369948.

The spelling of 189296640 in words is "one hundred eighty-nine million, two hundred ninety-six thousand, six hundred forty".