189821856 has 96 divisors (see below), whose sum is σ = 599477760. Its totient is φ = 51376896.

The previous prime is 189821851. The next prime is 189821873. The reversal of 189821856 is 658128981.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (189821851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5335 + ... + 20201.

It is an arithmetic number, because the mean of its divisors is an integer number (6244560).

Almost surely, 2^189821856 is an apocalyptic number.

189821856 is a gapful number since it is divisible by the number (16) 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 189821856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299738880).

189821856 is an abundant number, since it is smaller than the sum of its proper divisors (409655904).

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

189821856 is a wasteful number, since it uses less digits than its factorization.

189821856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14906 (or 14898 counting only the distinct ones).

The product of its digits is 276480, while the sum is 48.

The square root of 189821856 is about 13777.5852746408. The cubic root of 189821856 is about 574.7099795150.

The spelling of 189821856 in words is "one hundred eighty-nine million, eight hundred twenty-one thousand, eight hundred fifty-six".