826262112 has 96 divisors (see below), whose sum is σ = 2351214432. Its totient is φ = 252555264.

The previous prime is 826262093. The next prime is 826262117. The reversal of 826262112 is 211262628.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×826262112³ (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 826262112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826262117) 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, 193828 + ... + 198044.

It is an arithmetic number, because the mean of its divisors is an integer number (24491817).

Almost surely, 2^826262112 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 826262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175607216).

826262112 is an abundant number, since it is smaller than the sum of its proper divisors (1524952320).

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

826262112 is a wasteful number, since it uses less digits than its factorization.

826262112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4392 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 826262112 is about 28744.7753861463. The cubic root of 826262112 is about 938.3667549557.

The spelling of 826262112 in words is "eight hundred twenty-six million, two hundred sixty-two thousand, one hundred twelve".