189512640 has 168 divisors, whose sum is σ = 680423328. Its totient is φ = 48322560.

The previous prime is 189512633. The next prime is 189512681. The reversal of 189512640 is 46215981.

189512640 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 1 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 189512595 and 189512604.

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, 64810 + ... + 67670.

Almost surely, 2^189512640 is an apocalyptic number.

189512640 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 189512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340211664).

189512640 is an abundant number, since it is smaller than the sum of its proper divisors (490910688).

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

189512640 is a wasteful number, since it uses less digits than its factorization.

189512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 189512640 is about 13766.3589957548. The cubic root of 189512640 is about 574.3977462325.

It can be divided in two parts, 1895 and 12640, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 189512640 in words is "one hundred eighty-nine million, five hundred twelve thousand, six hundred forty".