826866468 has 240 divisors, whose sum is σ = 2450093184. Its totient is φ = 241781760.

The previous prime is 826866461. The next prime is 826866499. The reversal of 826866468 is 864668628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (826866461) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7727671 + ... + 7727777.

Almost surely, 2^826866468 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 826866468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225046592).

826866468 is an abundant number, since it is smaller than the sum of its proper divisors (1623226716).

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

826866468 is a wasteful number, since it uses less digits than its factorization.

826866468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 826866468 is about 28755.2859140715. The cubic root of 826866468 is about 938.5954835715.

The spelling of 826866468 in words is "eight hundred twenty-six million, eight hundred sixty-six thousand, four hundred sixty-eight".