214864920 has 256 divisors, whose sum is σ = 777024000. Its totient is φ = 52627968.

The previous prime is 214864907. The next prime is 214864933. The reversal of 214864920 is 29468412.

214864920 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 649 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214864907) and next prime (214864933).

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 63 ways as a sum of consecutive naturals, for example, 759099 + ... + 759381.

It is an arithmetic number, because the mean of its divisors is an integer number (3035250).

Almost surely, 2^214864920 is an apocalyptic number.

214864920 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 214864920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388512000).

214864920 is an abundant number, since it is smaller than the sum of its proper divisors (562159080).

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

214864920 is a wasteful number, since it uses less digits than its factorization.

214864920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 214864920 is about 14658.2713851259. The cubic root of 214864920 is about 598.9471536047.

The spelling of 214864920 in words is "two hundred fourteen million, eight hundred sixty-four thousand, nine hundred twenty".