214964024 has 64 divisors (see below), whose sum is σ = 468720000. Its totient is φ = 91393920.

The previous prime is 214963999. The next prime is 214964027. The reversal of 214964024 is 420469412.

It is a super-2 number, since 2×214964024² = 92419063228545152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214964027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138002 + ... + 139550.

It is an arithmetic number, because the mean of its divisors is an integer number (7323750).

Almost surely, 2^214964024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214964024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360000).

214964024 is an abundant number, since it is smaller than the sum of its proper divisors (253755976).

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

214964024 is a wasteful number, since it uses less digits than its factorization.

214964024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 214964024 is about 14661.6514758741. The cubic root of 214964024 is about 599.0392253041.

The spelling of 214964024 in words is "two hundred fourteen million, nine hundred sixty-four thousand, twenty-four".