190085760 has 192 divisors, whose sum is σ = 668383560. Its totient is φ = 49766400.

The previous prime is 190085741. The next prime is 190085773. The reversal of 190085760 is 67580091.

It can be written as a sum of positive squares in 4 ways, for example, as 88962624 + 101123136 = 9432^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×190085760² = 72265192309555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 351090 + ... + 351630.

Almost surely, 2^190085760 is an apocalyptic number.

190085760 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 190085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334191780).

190085760 is an abundant number, since it is smaller than the sum of its proper divisors (478297800).

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

190085760 is a wasteful number, since it uses less digits than its factorization.

190085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 190085760 is about 13787.1592432959. The cubic root of 190085760 is about 574.9761905705.

The spelling of 190085760 in words is "one hundred ninety million, eighty-five thousand, seven hundred sixty".