214813760 has 112 divisors (see below), whose sum is σ = 599114880. Its totient is φ = 71823360.

The previous prime is 214813691. The next prime is 214813793. The reversal of 214813760 is 67318412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×214813760² = 92289902970675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90671 + ... + 93009.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^214813760 is an apocalyptic number.

214813760 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 214813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299557440).

214813760 is an abundant number, since it is smaller than the sum of its proper divisors (384301120).

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

214813760 is a wasteful number, since it uses less digits than its factorization.

214813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 214813760 is about 14656.5261914275. The cubic root of 214813760 is about 598.8996127766.

The spelling of 214813760 in words is "two hundred fourteen million, eight hundred thirteen thousand, seven hundred sixty".