20894400 has 126 divisors (see below), whose sum is σ = 74314812. Its totient is φ = 5568000.

The previous prime is 20894399. The next prime is 20894417. The reversal of 20894400 is 449802.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13675 + ... + 15125.

Almost surely, 2^20894400 is an apocalyptic number.

20894400 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 20894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37157406).

20894400 is an abundant number, since it is smaller than the sum of its proper divisors (53420412).

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

20894400 is a wasteful number, since it uses less digits than its factorization.

20894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20894400 is about 4571.0392691378. The cubic root of 20894400 is about 275.4291920711.

The spelling of 20894400 in words is "twenty million, eight hundred ninety-four thousand, four hundred".