189967680 has 336 divisors, whose sum is σ = 776630400. Its totient is φ = 43296768.

The previous prime is 189967663. The next prime is 189967697. The reversal of 189967680 is 86769981.

It is an interprime number because it is at equal distance from previous prime (189967663) and next prime (189967697).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544146 + ... + 544494.

It is an arithmetic number, because the mean of its divisors is an integer number (2311400).

Almost surely, 2^189967680 is an apocalyptic number.

189967680 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 189967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388315200).

189967680 is an abundant number, since it is smaller than the sum of its proper divisors (586662720).

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

189967680 is an equidigital number, since it uses as much as digits as its factorization.

189967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 189967680 is about 13782.8763326092. The cubic root of 189967680 is about 574.8571087910.

The spelling of 189967680 in words is "one hundred eighty-nine million, nine hundred sixty-seven thousand, six hundred eighty".