7268976 has 120 divisors (see below), whose sum is σ = 23967216. Its totient is φ = 2027520.

The previous prime is 7268971. The next prime is 7268981. The reversal of 7268976 is 6798627.

7268976 = T₁ + T₂ + ... + T₃₅₁.

It is a happy number.

7268976 is a nontrivial binomial coefficient, being equal to C(353, 3).

It is an interprime number because it is at equal distance from previous prime (7268971) and next prime (7268981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7268971) by changing a digit.

It is the 351-st tetrahedral 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 23 ways as a sum of consecutive naturals, for example, 20416 + ... + 20768.

Almost surely, 2^7268976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7268976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983608).

7268976 is an abundant number, since it is smaller than the sum of its proper divisors (16698240).

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

7268976 is a wasteful number, since it uses less digits than its factorization.

7268976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7268976 is about 2696.1038555664. The cubic root of 7268976 is about 193.7125441296.

The spelling of 7268976 in words is "seven million, two hundred sixty-eight thousand, nine hundred seventy-six".