826142280 has 64 divisors (see below), whose sum is σ = 2492337600. Its totient is φ = 219068160.

The previous prime is 826142279. The next prime is 826142293. The reversal of 826142280 is 82241628.

It is a happy number.

826142280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×826142280² = 1365022133607196800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250 + ... + 40710.

It is an arithmetic number, because the mean of its divisors is an integer number (38942775).

Almost surely, 2^826142280 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 826142280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246168800).

826142280 is an abundant number, since it is smaller than the sum of its proper divisors (1666195320).

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

826142280 is a wasteful number, since it uses less digits than its factorization.

826142280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38654 (or 38650 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 826142280 is about 28742.6908969915. The cubic root of 826142280 is about 938.3213892863.

The spelling of 826142280 in words is "eight hundred twenty-six million, one hundred forty-two thousand, two hundred eighty".