190978560 has 240 divisors, whose sum is σ = 688143456. Its totient is φ = 50761728.

The previous prime is 190978553. The next prime is 190978597. The reversal of 190978560 is 65879091.

190978560 is a `hidden beast` number, since 19 + 0 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621927 + ... + 622233.

Almost surely, 2^190978560 is an apocalyptic number.

190978560 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 190978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344071728).

190978560 is an abundant number, since it is smaller than the sum of its proper divisors (497164896).

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

190978560 is an frugal number, since it uses more digits than its factorization.

190978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 190978560 is about 13819.4992673396. The cubic root of 190978560 is about 575.8749728634.

The spelling of 190978560 in words is "one hundred ninety million, nine hundred seventy-eight thousand, five hundred sixty".