190879920 has 360 divisors, whose sum is σ = 807844128. Its totient is φ = 39536640.

The previous prime is 190879907. The next prime is 190879933. The reversal of 190879920 is 29978091.

It is an interprime number because it is at equal distance from previous prime (190879907) and next prime (190879933).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609684 + ... + 609996.

Almost surely, 2^190879920 is an apocalyptic number.

190879920 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 190879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403922064).

190879920 is an abundant number, since it is smaller than the sum of its proper divisors (616964208).

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

190879920 is a wasteful number, since it uses less digits than its factorization.

190879920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 190879920 is about 13815.9299361281. The cubic root of 190879920 is about 575.7758097429.

The spelling of 190879920 in words is "one hundred ninety million, eight hundred seventy-nine thousand, nine hundred twenty".