190513296 has 200 divisors, whose sum is σ = 590107320. Its totient is φ = 59222016.

The previous prime is 190513289. The next prime is 190513307. The reversal of 190513296 is 692315091.

It can be written as a sum of positive squares in 4 ways, for example, as 74649600 + 115863696 = 8640^2 + 10764^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 190513296.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1390540 + ... + 1390676.

Almost surely, 2^190513296 is an apocalyptic number.

190513296 is a gapful number since it is divisible by the number (16) 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 190513296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295053660).

190513296 is an abundant number, since it is smaller than the sum of its proper divisors (399594024).

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

190513296 is a wasteful number, since it uses less digits than its factorization.

190513296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 190513296 is about 13802.6553966981. The cubic root of 190513296 is about 575.4069416711.

The spelling of 190513296 in words is "one hundred ninety million, five hundred thirteen thousand, two hundred ninety-six".