189764640 has 384 divisors, whose sum is σ = 745113600. Its totient is φ = 44789760.

The previous prime is 189764621. The next prime is 189764669. The reversal of 189764640 is 46467981.

189764640 is a `hidden beast` number, since 189 + 7 + 6 + 464 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740906 + ... + 1741014.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2^189764640 is an apocalyptic number.

189764640 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 189764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372556800).

189764640 is an abundant number, since it is smaller than the sum of its proper divisors (555348960).

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

189764640 is a wasteful number, since it uses less digits than its factorization.

189764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 189764640 is about 13775.5087020407. The cubic root of 189764640 is about 574.6522307898.

The spelling of 189764640 in words is "one hundred eighty-nine million, seven hundred sixty-four thousand, six hundred forty".