190879416 has 288 divisors, whose sum is σ = 671448960. Its totient is φ = 49735296.

The previous prime is 190879391. The next prime is 190879427. The reversal of 190879416 is 614978091.

It is a happy number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2299711 + ... + 2299793.

It is an arithmetic number, because the mean of its divisors is an integer number (2331420).

Almost surely, 2^190879416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190879416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335724480).

190879416 is an abundant number, since it is smaller than the sum of its proper divisors (480569544).

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

190879416 is a wasteful number, since it uses less digits than its factorization.

190879416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 190879416 is about 13815.9116963015. The cubic root of 190879416 is about 575.7753029823.

The spelling of 190879416 in words is "one hundred ninety million, eight hundred seventy-nine thousand, four hundred sixteen".