820924092 has 72 divisors (see below), whose sum is σ = 2169357680. Its totient is φ = 268392960.

The previous prime is 820924087. The next prime is 820924103. The reversal of 820924092 is 290429028.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2325388 + ... + 2325740.

Almost surely, 2^820924092 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 820924092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084678840).

820924092 is an abundant number, since it is smaller than the sum of its proper divisors (1348433588).

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

820924092 is a wasteful number, since it uses less digits than its factorization.

820924092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 820924092 is about 28651.7729294367. The cubic root of 820924092 is about 936.3416323595.

The spelling of 820924092 in words is "eight hundred twenty million, nine hundred twenty-four thousand, ninety-two".