826432740 has 384 divisors, whose sum is σ = 3186892800. Its totient is φ = 173560320.

The previous prime is 826432727. The next prime is 826432741. The reversal of 826432740 is 47234628.

826432740 is a `hidden beast` number, since 8 + 2 + 643 + 2 + 7 + 4 + 0 = 666.

It is a super-3 number, since 3×826432740³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 826432695 and 826432704.

It is not an unprimeable number, because it can be changed into a prime (826432741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2657185 + ... + 2657495.

It is an arithmetic number, because the mean of its divisors is an integer number (8299200).

Almost surely, 2^826432740 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 826432740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593446400).

826432740 is an abundant number, since it is smaller than the sum of its proper divisors (2360460060).

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

826432740 is a wasteful number, since it uses less digits than its factorization.

826432740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 826432740 is about 28747.7432157726. The cubic root of 826432740 is about 938.4313432667.

The spelling of 826432740 in words is "eight hundred twenty-six million, four hundred thirty-two thousand, seven hundred forty".