826096128 has 160 divisors (see below), whose sum is σ = 2586209472. Its totient is φ = 231014400.

The previous prime is 826096123. The next prime is 826096133. The reversal of 826096128 is 821690628.

It is an interprime number because it is at equal distance from previous prime (826096123) and next prime (826096133).

It is a self number, because there is not a number n which added to its sum of digits gives 826096128.

It is not an unprimeable number, because it can be changed into a prime (826096121) 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, 217768 + ... + 221528.

Almost surely, 2^826096128 is an apocalyptic number.

826096128 is a gapful number since it is divisible by the number (88) 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 826096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293104736).

826096128 is an abundant number, since it is smaller than the sum of its proper divisors (1760113344).

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

826096128 is a wasteful number, since it uses less digits than its factorization.

826096128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 826096128 is about 28741.8880381926. Note that the first 3 decimals coincide. The cubic root of 826096128 is about 938.3039160188.

The spelling of 826096128 in words is "eight hundred twenty-six million, ninety-six thousand, one hundred twenty-eight".