960826400 has 288 divisors, whose sum is σ = 2672828928. Its totient is φ = 335462400.

The previous prime is 960826393. The next prime is 960826423. The reversal of 960826400 is 4628069.

960826400 = T₄₂₅ + T₄₂₆ + ... + T₁₈₀₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18128774 + ... + 18128826.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2^960826400 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 960826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336414464).

960826400 is an abundant number, since it is smaller than the sum of its proper divisors (1712002528).

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

960826400 is a wasteful number, since it uses less digits than its factorization.

960826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 960826400 is about 30997.1998735370. The cubic root of 960826400 is about 986.7678148881.

The spelling of 960826400 in words is "nine hundred sixty million, eight hundred twenty-six thousand, four hundred".