189849600 has 252 divisors, whose sum is σ = 686644296. Its totient is φ = 50135040.

The previous prime is 189849589. The next prime is 189849617. The reversal of 189849600 is 6948981.

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 17 ways as a sum of consecutive naturals, for example, 1843149 + ... + 1843251.

Almost surely, 2^189849600 is an apocalyptic number.

189849600 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 189849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343322148).

189849600 is an abundant number, since it is smaller than the sum of its proper divisors (496794696).

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

189849600 is a wasteful number, since it uses less digits than its factorization.

189849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 189849600 is about 13778.5920906310. The cubic root of 189849600 is about 574.7379776553.

The spelling of 189849600 in words is "one hundred eighty-nine million, eight hundred forty-nine thousand, six hundred".