189851040 has 288 divisors, whose sum is σ = 709974720. Its totient is φ = 47775744.

The previous prime is 189850981. The next prime is 189851041. The reversal of 189851040 is 40158981.

189851040 is a `hidden beast` number, since 18 + 98 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 189850986 and 189851004.

It is not an unprimeable number, because it can be changed into a prime (189851041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738592 + ... + 738848.

It is an arithmetic number, because the mean of its divisors is an integer number (2465190).

Almost surely, 2^189851040 is an apocalyptic number.

189851040 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 189851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354987360).

189851040 is an abundant number, since it is smaller than the sum of its proper divisors (520123680).

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

189851040 is a wasteful number, since it uses less digits than its factorization.

189851040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 189851040 is about 13778.6443455080. The cubic root of 189851040 is about 574.7394307716.

The spelling of 189851040 in words is "one hundred eighty-nine million, eight hundred fifty-one thousand, forty".