20966400 has 396 divisors, whose sum is σ = 92393392. Its totient is φ = 4423680.

The previous prime is 20966369. The next prime is 20966411. The reversal of 20966400 is 466902.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612794 + ... + 1612806.

Almost surely, 2^20966400 is an apocalyptic number.

20966400 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 20966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46196696).

20966400 is an abundant number, since it is smaller than the sum of its proper divisors (71426992).

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

20966400 is a wasteful number, since it uses less digits than its factorization.

20966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20966400 is about 4578.9081668013. The cubic root of 20966400 is about 275.7451964695.

The spelling of 20966400 in words is "twenty million, nine hundred sixty-six thousand, four hundred".