189392640 has 288 divisors, whose sum is σ = 656173056. Its totient is φ = 46448640.

The previous prime is 189392639. The next prime is 189392641. The reversal of 189392640 is 46293981.

It is an interprime number because it is at equal distance from previous prime (189392639) and next prime (189392641).

It is a junction number, because it is equal to n+sod(n) for n = 189392592 and 189392601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189392641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4404459 + ... + 4404501.

Almost surely, 2^189392640 is an apocalyptic number.

189392640 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 189392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328086528).

189392640 is an abundant number, since it is smaller than the sum of its proper divisors (466780416).

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

189392640 is a wasteful number, since it uses less digits than its factorization.

189392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 189392640 is about 13761.9998546723. Note that the first 3 decimals coincide. The cubic root of 189392640 is about 574.2764838142.

The spelling of 189392640 in words is "one hundred eighty-nine million, three hundred ninety-two thousand, six hundred forty".