189340416 has 180 divisors, whose sum is σ = 590609712. Its totient is φ = 60217344.

The previous prime is 189340399. The next prime is 189340421. The reversal of 189340416 is 614043981.

It is a super-3 number, since 3×189340416³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476730 + ... + 477126.

Almost surely, 2^189340416 is an apocalyptic number.

189340416 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 189340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295304856).

189340416 is an abundant number, since it is smaller than the sum of its proper divisors (401269296).

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

189340416 is an equidigital number, since it uses as much as digits as its factorization.

189340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 189340416 is about 13760.1023252009. The cubic root of 189340416 is about 574.2236944131.

The spelling of 189340416 in words is "one hundred eighty-nine million, three hundred forty thousand, four hundred sixteen".