213897024 has 280 divisors, whose sum is σ = 719913216. Its totient is φ = 62726400.

The previous prime is 213896989. The next prime is 213897053. The reversal of 213897024 is 420798312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213897024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6899889 + ... + 6899919.

Almost surely, 2^213897024 is an apocalyptic number.

213897024 is a gapful number since it is divisible by the number (24) 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 213897024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359956608).

213897024 is an abundant number, since it is smaller than the sum of its proper divisors (506016192).

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

213897024 is an equidigital number, since it uses as much as digits as its factorization.

213897024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 213897024 is about 14625.2187675946. The cubic root of 213897024 is about 598.0464462830.

The spelling of 213897024 in words is "two hundred thirteen million, eight hundred ninety-seven thousand, twenty-four".