189756420 has 288 divisors, whose sum is σ = 674150400. Its totient is φ = 39626496.

The previous prime is 189756409. The next prime is 189756467. The reversal of 189756420 is 24657981.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2401941 + ... + 2402019.

It is an arithmetic number, because the mean of its divisors is an integer number (2340800).

Almost surely, 2^189756420 is an apocalyptic number.

189756420 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 189756420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337075200).

189756420 is an abundant number, since it is smaller than the sum of its proper divisors (484393980).

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

189756420 is a wasteful number, since it uses less digits than its factorization.

189756420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 189756420 is about 13775.2103432216. The cubic root of 189756420 is about 574.6439333017.

The spelling of 189756420 in words is "one hundred eighty-nine million, seven hundred fifty-six thousand, four hundred twenty".