830515356 has 120 divisors (see below), whose sum is σ = 2382441600. Its totient is φ = 250192800.

The previous prime is 830515321. The next prime is 830515381. The reversal of 830515356 is 653515038.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 830515356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 708651 + ... + 709821.

It is an arithmetic number, because the mean of its divisors is an integer number (19853680).

Almost surely, 2^830515356 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 830515356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191220800).

830515356 is an abundant number, since it is smaller than the sum of its proper divisors (1551926244).

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

830515356 is a wasteful number, since it uses less digits than its factorization.

830515356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 830515356 is about 28818.6633277812. The cubic root of 830515356 is about 939.9741037079.

The spelling of 830515356 in words is "eight hundred thirty million, five hundred fifteen thousand, three hundred fifty-six".