296256960 has 224 divisors, whose sum is σ = 1107155520. Its totient is φ = 74317824.

The previous prime is 296256941. The next prime is 296256967. The reversal of 296256960 is 69652692.

296256960 is a `hidden beast` number, since 29 + 6 + 2 + 569 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296256967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145872 + ... + 147888.

Almost surely, 2^296256960 is an apocalyptic number.

296256960 is a gapful number since it is divisible by the number (20) 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 296256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553577760).

296256960 is an abundant number, since it is smaller than the sum of its proper divisors (810898560).

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

296256960 is a wasteful number, since it uses less digits than its factorization.

296256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 296256960 is about 17212.1166623980. The cubic root of 296256960 is about 666.6371631388.

It can be divided in two parts, 29625 and 6960, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 296256960 in words is "two hundred ninety-six million, two hundred fifty-six thousand, nine hundred sixty".