191056320 has 504 divisors, whose sum is σ = 839870304. Its totient is φ = 40310784.

The previous prime is 191056279. The next prime is 191056367. The reversal of 191056320 is 23650191.

191056320 is a `hidden beast` number, since 19 + 10 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14696634 + ... + 14696646.

Almost surely, 2^191056320 is an apocalyptic number.

191056320 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 191056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419935152).

191056320 is an abundant number, since it is smaller than the sum of its proper divisors (648813984).

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

191056320 is an frugal number, since it uses more digits than its factorization.

191056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 191056320 is about 13822.3123969906. The cubic root of 191056320 is about 575.9531211848.

It can be divided in two parts, 19105 and 6320, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 191056320 in words is "one hundred ninety-one million, fifty-six thousand, three hundred twenty".