214108800 has 96 divisors (see below), whose sum is σ = 705252480. Its totient is φ = 57093120.

The previous prime is 214108787. The next prime is 214108823. The reversal of 214108800 is 8801412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552 + ... + 20751.

It is an arithmetic number, because the mean of its divisors is an integer number (7346380).

Almost surely, 2^214108800 is an apocalyptic number.

214108800 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 214108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352626240).

214108800 is an abundant number, since it is smaller than the sum of its proper divisors (491143680).

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

214108800 is a wasteful number, since it uses less digits than its factorization.

214108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22330 (or 22313 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 214108800 is about 14632.4570732328. The cubic root of 214108800 is about 598.2437532334.

The spelling of 214108800 in words is "two hundred fourteen million, one hundred eight thousand, eight hundred".