213796800 has 504 divisors, whose sum is σ = 915588720. Its totient is φ = 48384000.

The previous prime is 213796789. The next prime is 213796813. The reversal of 213796800 is 8697312.

213796800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116750 + ... + 2116850.

Almost surely, 2^213796800 is an apocalyptic number.

213796800 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 213796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457794360).

213796800 is an abundant number, since it is smaller than the sum of its proper divisors (701791920).

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

213796800 is a wasteful number, since it uses less digits than its factorization.

213796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 213796800 is about 14621.7919558445. The cubic root of 213796800 is about 597.9530244267.

The spelling of 213796800 in words is "two hundred thirteen million, seven hundred ninety-six thousand, eight hundred".