826731360 has 480 divisors, whose sum is σ = 3596104512. Its totient is φ = 174182400.

The previous prime is 826731341. The next prime is 826731361. The reversal of 826731360 is 63137628.

It is a happy number.

826731360 is a `hidden beast` number, since 8 + 267 + 31 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826731361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179010 + ... + 1179710.

Almost surely, 2^826731360 is an apocalyptic number.

826731360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826731360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798052256).

826731360 is an abundant number, since it is smaller than the sum of its proper divisors (2769373152).

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

826731360 is a wasteful number, since it uses less digits than its factorization.

826731360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 826731360 is about 28752.9365456817. The cubic root of 826731360 is about 938.5443593691.

Adding to 826731360 its reverse (63137628), we get a palindrome (889868988).

The spelling of 826731360 in words is "eight hundred twenty-six million, seven hundred thirty-one thousand, three hundred sixty".