20766400 has 42 divisors (see below), whose sum is σ = 51102260. Its totient is φ = 8305920.

The previous prime is 20766397. The next prime is 20766419. The reversal of 20766400 is 466702.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4890 + ... + 8089.

Almost surely, 2^20766400 is an apocalyptic number.

20766400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20766400 is an abundant number, since it is smaller than the sum of its proper divisors (30335860).

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

20766400 is a wasteful number, since it uses less digits than its factorization.

20766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13001 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 20766400 is about 4557.0165678874. The cubic root of 20766400 is about 274.8656092659.

The spelling of 20766400 in words is "twenty million, seven hundred sixty-six thousand, four hundred".