296900640 has 240 divisors, whose sum is σ = 1083075840. Its totient is φ = 76515840.

The previous prime is 296900633. The next prime is 296900687. The reversal of 296900640 is 46009692.

296900640 is a `hidden beast` number, since 2 + 9 + 6 + 9 + 0 + 0 + 640 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 296900595 and 296900604.

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, 401391 + ... + 402129.

It is an arithmetic number, because the mean of its divisors is an integer number (4512816).

Almost surely, 2^296900640 is an apocalyptic number.

296900640 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 296900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541537920).

296900640 is an abundant number, since it is smaller than the sum of its proper divisors (786175200).

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

296900640 is a wasteful number, since it uses less digits than its factorization.

296900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 296900640 is about 17230.8049724904. The cubic root of 296900640 is about 667.1196166292.

The spelling of 296900640 in words is "two hundred ninety-six million, nine hundred thousand, six hundred forty".