20842900 has 36 divisors (see below), whose sum is σ = 48711292. Its totient is φ = 7695360.

The previous prime is 20842891. The next prime is 20842919. The reversal of 20842900 is 924802.

It can be written as a sum of positive squares in 6 ways, for example, as 8690704 + 12152196 = 2948^2 + 3486^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6717 + ... + 9316.

Almost surely, 2^20842900 is an apocalyptic number.

20842900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20842900 is an abundant number, since it is smaller than the sum of its proper divisors (27868392).

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

20842900 is a wasteful number, since it uses less digits than its factorization.

20842900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16060 (or 16053 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 20842900 is about 4565.4025014231. The cubic root of 20842900 is about 275.2027155458.

It can be divided in two parts, 208 and 42900, that multiplied together give a triangular number (8923200 = T₄₂₂₄).

The spelling of 20842900 in words is "twenty million, eight hundred forty-two thousand, nine hundred".