189961200 has 600 divisors, whose sum is σ = 820478736. Its totient is φ = 41472000.

The previous prime is 189961199. The next prime is 189961201. The reversal of 189961200 is 2169981.

189961200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189961199) and next prime (189961201).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189961201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4633180 + ... + 4633220.

Almost surely, 2^189961200 is an apocalyptic number.

189961200 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 189961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410239368).

189961200 is an abundant number, since it is smaller than the sum of its proper divisors (630517536).

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

189961200 is a wasteful number, since it uses less digits than its factorization.

189961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 189961200 is about 13782.6412563050. The cubic root of 189961200 is about 574.8505723871.

The spelling of 189961200 in words is "one hundred eighty-nine million, nine hundred sixty-one thousand, two hundred".