189950640 has 240 divisors, whose sum is σ = 671290368. Its totient is φ = 44352000.

The previous prime is 189950617. The next prime is 189950647. The reversal of 189950640 is 46059981.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 189950592 and 189950601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189950647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 900135 + ... + 900345.

Almost surely, 2^189950640 is an apocalyptic number.

189950640 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 189950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335645184).

189950640 is an abundant number, since it is smaller than the sum of its proper divisors (481339728).

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

189950640 is a wasteful number, since it uses less digits than its factorization.

189950640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 189950640 is about 13782.2581604032. The cubic root of 189950640 is about 574.8399201512.

The spelling of 189950640 in words is "one hundred eighty-nine million, nine hundred fifty thousand, six hundred forty".