820737126 has 48 divisors (see below), whose sum is σ = 1944949968. Its totient is φ = 248064000.

The previous prime is 820737097. The next prime is 820737143. The reversal of 820737126 is 621737028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74230 + ... + 84566.

It is an arithmetic number, because the mean of its divisors is an integer number (40519791).

Almost surely, 2^820737126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820737126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972474984).

820737126 is an abundant number, since it is smaller than the sum of its proper divisors (1124212842).

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

820737126 is a wasteful number, since it uses less digits than its factorization.

820737126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10757 (or 10754 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 820737126 is about 28648.5100136115. The cubic root of 820737126 is about 936.2705428222.

The spelling of 820737126 in words is "eight hundred twenty million, seven hundred thirty-seven thousand, one hundred twenty-six".