827370324 has 144 divisors (see below), whose sum is σ = 2361078720. Its totient is φ = 242112000.

The previous prime is 827370301. The next prime is 827370361. The reversal of 827370324 is 423073728.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2126722 + ... + 2127110.

It is an arithmetic number, because the mean of its divisors is an integer number (16396380).

Almost surely, 2^827370324 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 827370324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180539360).

827370324 is an abundant number, since it is smaller than the sum of its proper divisors (1533708396).

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

827370324 is a wasteful number, since it uses less digits than its factorization.

827370324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 827370324 is about 28764.0456820664. The cubic root of 827370324 is about 938.7860911075.

The spelling of 827370324 in words is "eight hundred twenty-seven million, three hundred seventy thousand, three hundred twenty-four".