826928640 has 240 divisors, whose sum is σ = 3016213200. Its totient is φ = 208797696.

The previous prime is 826928639. The next prime is 826928677. The reversal of 826928640 is 46829628.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436816 + ... + 438704.

It is an arithmetic number, because the mean of its divisors is an integer number (12567555).

Almost surely, 2^826928640 is an apocalyptic number.

826928640 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 826928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508106600).

826928640 is an abundant number, since it is smaller than the sum of its proper divisors (2189284560).

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

826928640 is a wasteful number, since it uses less digits than its factorization.

826928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 826928640 is about 28756.3669471649. The cubic root of 826928640 is about 938.6190072795.

The spelling of 826928640 in words is "eight hundred twenty-six million, nine hundred twenty-eight thousand, six hundred forty".