214149360 has 80 divisors (see below), whose sum is σ = 670385664. Its totient is φ = 56545536.

The previous prime is 214149359. The next prime is 214149367. The reversal of 214149360 is 63941412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214149367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20389 + ... + 29051.

Almost surely, 2^214149360 is an apocalyptic number.

214149360 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 214149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335192832).

214149360 is an abundant number, since it is smaller than the sum of its proper divisors (456236304).

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

214149360 is a wasteful number, since it uses less digits than its factorization.

214149360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 214149360 is about 14633.8429675872. The cubic root of 214149360 is about 598.2815272290.

The spelling of 214149360 in words is "two hundred fourteen million, one hundred forty-nine thousand, three hundred sixty".