20092800 has 384 divisors, whose sum is σ = 84994560. Its totient is φ = 4055040.

The previous prime is 20092783. The next prime is 20092817. The reversal of 20092800 is 829002.

It is an interprime number because it is at equal distance from previous prime (20092783) and next prime (20092817).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20092800² = 807441223680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873589 + ... + 873611.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 2^20092800 is an apocalyptic number.

20092800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

20092800 is an abundant number, since it is smaller than the sum of its proper divisors (64901760).

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

20092800 is a wasteful number, since it uses less digits than its factorization.

20092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20092800 is about 4482.4993028443. The cubic root of 20092800 is about 271.8609439159.

The spelling of 20092800 in words is "twenty million, ninety-two thousand, eight hundred".