189753840 has 240 divisors, whose sum is σ = 679206528. Its totient is φ = 49206528.

The previous prime is 189753829. The next prime is 189753869. The reversal of 189753840 is 48357981.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835807 + ... + 836033.

Almost surely, 2^189753840 is an apocalyptic number.

189753840 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 189753840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339603264).

189753840 is an abundant number, since it is smaller than the sum of its proper divisors (489452688).

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

189753840 is a wasteful number, since it uses less digits than its factorization.

189753840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 189753840 is about 13775.1166964204. The cubic root of 189753840 is about 574.6413289312.

The spelling of 189753840 in words is "one hundred eighty-nine million, seven hundred fifty-three thousand, eight hundred forty".