213602064 has 80 divisors (see below), whose sum is σ = 596336832. Its totient is φ = 65493504.

The previous prime is 213602057. The next prime is 213602071. The reversal of 213602064 is 460206312.

213602064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213602057) and next prime (213602071).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291042 + ... + 291774.

Almost surely, 2^213602064 is an apocalyptic number.

213602064 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 213602064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298168416).

213602064 is an abundant number, since it is smaller than the sum of its proper divisors (382734768).

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

213602064 is a wasteful number, since it uses less digits than its factorization.

213602064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 213602064 is about 14615.1313370767. The cubic root of 213602064 is about 597.7714215341.

Adding to 213602064 its reverse (460206312), we get a palindrome (673808376).

The spelling of 213602064 in words is "two hundred thirteen million, six hundred two thousand, sixty-four".