190957080 has 64 divisors (see below), whose sum is σ = 574997760. Its totient is φ = 50732928.

The previous prime is 190957079. The next prime is 190957093. The reversal of 190957080 is 80759091.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31149 + ... + 36771.

It is an arithmetic number, because the mean of its divisors is an integer number (8984340).

Almost surely, 2^190957080 is an apocalyptic number.

190957080 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 190957080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287498880).

190957080 is an abundant number, since it is smaller than the sum of its proper divisors (384040680).

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

190957080 is a wasteful number, since it uses less digits than its factorization.

190957080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 190957080 is about 13818.7220827398. The cubic root of 190957080 is about 575.8533818566.

The spelling of 190957080 in words is "one hundred ninety million, nine hundred fifty-seven thousand, eighty".