190538880 has 128 divisors (see below), whose sum is σ = 694154880. Its totient is φ = 43548672.

The previous prime is 190538879. The next prime is 190538899. The reversal of 190538880 is 88835091.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 6352 + ... + 20528.

It is an arithmetic number, because the mean of its divisors is an integer number (5423085).

Almost surely, 2^190538880 is an apocalyptic number.

190538880 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 190538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347077440).

190538880 is an abundant number, since it is smaller than the sum of its proper divisors (503616000).

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

190538880 is a wasteful number, since it uses less digits than its factorization.

190538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14206 (or 14194 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 190538880 is about 13803.5821437770. The cubic root of 190538880 is about 575.4326976202.

The spelling of 190538880 in words is "one hundred ninety million, five hundred thirty-eight thousand, eight hundred eighty".