827015940 has 96 divisors (see below), whose sum is σ = 2582213760. Its totient is φ = 219742848.

The previous prime is 827015933. The next prime is 827015951. The reversal of 827015940 is 49510728.

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 = 827015895 and 827015904.

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 31 ways as a sum of consecutive naturals, for example, 155607 + ... + 160833.

It is an arithmetic number, because the mean of its divisors is an integer number (26898060).

Almost surely, 2^827015940 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 827015940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291106880).

827015940 is an abundant number, since it is smaller than the sum of its proper divisors (1755197820).

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

827015940 is a wasteful number, since it uses less digits than its factorization.

827015940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 827015940 is about 28757.8848318161. The cubic root of 827015940 is about 938.6520365527.

The spelling of 827015940 in words is "eight hundred twenty-seven million, fifteen thousand, nine hundred forty".