826060032 has 324 divisors, whose sum is σ = 2883806016. Its totient is φ = 235146240.

The previous prime is 826060031. The next prime is 826060033. The reversal of 826060032 is 230060628.

826060032 is a `hidden beast` number, since 8 + 26 + 0 + 600 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (826060031) and next prime (826060033).

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 826059978 and 826060005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826060031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048057 + ... + 3048327.

Almost surely, 2^826060032 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 826060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441903008).

826060032 is an abundant number, since it is smaller than the sum of its proper divisors (2057745984).

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

826060032 is an equidigital number, since it uses as much as digits as its factorization.

826060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 826060032 is about 28741.2600976366. The cubic root of 826060032 is about 938.2902495256.

The spelling of 826060032 in words is "eight hundred twenty-six million, sixty thousand, thirty-two".