826053642 has 12 divisors (see below), whose sum is σ = 1789782930. Its totient is φ = 275351208.

The previous prime is 826053629. The next prime is 826053673. The reversal of 826053642 is 246350628.

826053642 is a `hidden beast` number, since 8 + 2 + 6 + 0 + 5 + 3 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 816187761 + 9865881 = 28569^2 + 3141^2 .

It is a super-2 number, since 2×826053642² = 1364729238922928328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 826053597 and 826053606.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22945917 + ... + 22945952.

Almost surely, 2^826053642 is an apocalyptic number.

826053642 is an abundant number, since it is smaller than the sum of its proper divisors (963729288).

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

826053642 is a wasteful number, since it uses less digits than its factorization.

826053642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45891877 (or 45891874 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 826053642 is about 28741.1489331933. The cubic root of 826053642 is about 938.2878301331.

The spelling of 826053642 in words is "eight hundred twenty-six million, fifty-three thousand, six hundred forty-two".