813353940 has 288 divisors, whose sum is σ = 2999203200. Its totient is φ = 182407680.

The previous prime is 813353929. The next prime is 813353963. The reversal of 813353940 is 49353318.

813353940 is a `hidden beast` number, since 81 + 3 + 3 + 539 + 40 = 666.

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 = 813353895 and 813353904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1560880 + ... + 1561400.

It is an arithmetic number, because the mean of its divisors is an integer number (10413900).

Almost surely, 2^813353940 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 813353940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499601600).

813353940 is an abundant number, since it is smaller than the sum of its proper divisors (2185849260).

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

813353940 is a wasteful number, since it uses less digits than its factorization.

813353940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 813353940 is about 28519.3607922758. The cubic root of 813353940 is about 933.4545814704.

The spelling of 813353940 in words is "eight hundred thirteen million, three hundred fifty-three thousand, nine hundred forty".