296964880 has 80 divisors (see below), whose sum is σ = 712008000. Its totient is φ = 115121664.

The previous prime is 296964869. The next prime is 296964887. The reversal of 296964880 is 88469692.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (296964887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594871 + ... + 595369.

It is an arithmetic number, because the mean of its divisors is an integer number (8900100).

Almost surely, 2^296964880 is an apocalyptic number.

296964880 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 296964880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356004000).

296964880 is an abundant number, since it is smaller than the sum of its proper divisors (415043120).

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

296964880 is a wasteful number, since it uses less digits than its factorization.

296964880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The square root of 296964880 is about 17232.6689749441. The cubic root of 296964880 is about 667.1677277568.

The spelling of 296964880 in words is "two hundred ninety-six million, nine hundred sixty-four thousand, eight hundred eighty".