189752640 has 448 divisors, whose sum is σ = 800575488. Its totient is φ = 36864000.

The previous prime is 189752621. The next prime is 189752663. The reversal of 189752640 is 46257981.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 189752592 and 189752601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256565 + ... + 1256715.

Almost surely, 2^189752640 is an apocalyptic number.

189752640 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 189752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400287744).

189752640 is an abundant number, since it is smaller than the sum of its proper divisors (610822848).

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

189752640 is a wasteful number, since it uses less digits than its factorization.

189752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 189752640 is about 13775.0731395517. The cubic root of 189752640 is about 574.6401175880.

The spelling of 189752640 in words is "one hundred eighty-nine million, seven hundred fifty-two thousand, six hundred forty".