189963648 has 96 divisors (see below), whose sum is σ = 624758160. Its totient is φ = 54273024.

The previous prime is 189963643. The next prime is 189963649. The reversal of 189963648 is 846369981.

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

It is a super-2 number, since 2×189963648² = 72172375122935808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 189963594 and 189963603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189963643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3715 + ... + 19842.

Almost surely, 2^189963648 is an apocalyptic number.

189963648 is a gapful number since it is divisible by the number (18) 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 189963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312379080).

189963648 is an abundant number, since it is smaller than the sum of its proper divisors (434794512).

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

189963648 is a wasteful number, since it uses less digits than its factorization.

189963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23584 (or 23569 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 189963648 is about 13782.7300633800. The cubic root of 189963648 is about 574.8530417127.

It can be divided in two parts, 18 and 9963648, that multiplied together give a square (179345664 = 13392²).

The spelling of 189963648 in words is "one hundred eighty-nine million, nine hundred sixty-three thousand, six hundred forty-eight".