214124640 has 192 divisors, whose sum is σ = 701955072. Its totient is φ = 54835200.

The previous prime is 214124551. The next prime is 214124663. The reversal of 214124640 is 46421412.

It is a happy number.

It is a super-2 number, since 2×214124640² = 91698722910259200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214124640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2078829 + ... + 2078931.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^214124640 is an apocalyptic number.

214124640 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 214124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536).

214124640 is an abundant number, since it is smaller than the sum of its proper divisors (487830432).

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

214124640 is a wasteful number, since it uses less digits than its factorization.

214124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 214124640 is about 14632.9983257021. The cubic root of 214124640 is about 598.2585057757.

The spelling of 214124640 in words is "two hundred fourteen million, one hundred twenty-four thousand, six hundred forty".