826949248 has 64 divisors (see below), whose sum is σ = 1700870400. Its totient is φ = 400278528.

The previous prime is 826949243. The next prime is 826949257. The reversal of 826949248 is 842949628.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 826949195 and 826949204.

It is not an unprimeable number, because it can be changed into a prime (826949243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535165 + ... + 536707.

It is an arithmetic number, because the mean of its divisors is an integer number (26576100).

Almost surely, 2^826949248 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 826949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850435200).

826949248 is an abundant number, since it is smaller than the sum of its proper divisors (873921152).

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

826949248 is a wasteful number, since it uses less digits than its factorization.

826949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1677 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 826949248 is about 28756.7252655792. The cubic root of 826949248 is about 938.6268043649.

The spelling of 826949248 in words is "eight hundred twenty-six million, nine hundred forty-nine thousand, two hundred forty-eight".