826239960 has 384 divisors, whose sum is σ = 3453105600. Its totient is φ = 174182400.

The previous prime is 826239943. The next prime is 826240027. The reversal of 826239960 is 69932628.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687360 + ... + 688560.

Almost surely, 2^826239960 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 826239960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726552800).

826239960 is an abundant number, since it is smaller than the sum of its proper divisors (2626865640).

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

826239960 is a wasteful number, since it uses less digits than its factorization.

826239960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 826239960 is about 28744.3900613668. The cubic root of 826239960 is about 938.3583690429.

The spelling of 826239960 in words is "eight hundred twenty-six million, two hundred thirty-nine thousand, nine hundred sixty".