296972820 has 72 divisors (see below), whose sum is σ = 902518344. Its totient is φ = 79043328.

The previous prime is 296972807. The next prime is 296972821. The reversal of 296972820 is 28279692.

It can be written as a sum of positive squares in 4 ways, for example, as 195608196 + 101364624 = 13986^2 + 10068^2 .

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 (296972821) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120642 + ... + 123078.

It is an arithmetic number, because the mean of its divisors is an integer number (12534977).

Almost surely, 2^296972820 is an apocalyptic number.

296972820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

296972820 is an abundant number, since it is smaller than the sum of its proper divisors (605545524).

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

296972820 is a wasteful number, since it uses less digits than its factorization.

296972820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 296972820 is about 17232.8993497902. The cubic root of 296972820 is about 667.1736737624.

It can be divided in two parts, 296972 and 820, that added together give a palindrome (297792).

The spelling of 296972820 in words is "two hundred ninety-six million, nine hundred seventy-two thousand, eight hundred twenty".