190293120 has 96 divisors (see below), whose sum is σ = 657125820. Its totient is φ = 50743296.

The previous prime is 190293119. The next prime is 190293133. The reversal of 190293120 is 21392091.

It can be written as a sum of positive squares in 2 ways, for example, as 155151936 + 35141184 = 12456^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×190293120² = 72422943038668800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10759 + ... + 22278.

Almost surely, 2^190293120 is an apocalyptic number.

190293120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190293120 is an abundant number, since it is smaller than the sum of its proper divisors (466832700).

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

190293120 is a wasteful number, since it uses less digits than its factorization.

190293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33062 (or 33047 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 190293120 is about 13794.6772343538. The cubic root of 190293120 is about 575.1851905067.

The spelling of 190293120 in words is "one hundred ninety million, two hundred ninety-three thousand, one hundred twenty".