296771040 has 288 divisors, whose sum is σ = 1114495200. Its totient is φ = 74317824.

The previous prime is 296771011. The next prime is 296771053. The reversal of 296771040 is 40177692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 296770986 and 296771004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660736 + ... + 661184.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^296771040 is an apocalyptic number.

296771040 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 296771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557247600).

296771040 is an abundant number, since it is smaller than the sum of its proper divisors (817724160).

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

296771040 is a wasteful number, since it uses less digits than its factorization.

296771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 296771040 is about 17227.0438555197. The cubic root of 296771040 is about 667.0225344478.

The spelling of 296771040 in words is "two hundred ninety-six million, seven hundred seventy-one thousand, forty".