213086064 has 80 divisors (see below), whose sum is σ = 598215680. Its totient is φ = 65111040.

The previous prime is 213086039. The next prime is 213086077. The reversal of 213086064 is 460680312.

It is a congruent number.

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, 24504 + ... + 32040.

It is an arithmetic number, because the mean of its divisors is an integer number (7477696).

Almost surely, 2^213086064 is an apocalyptic number.

213086064 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 213086064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299107840).

213086064 is an abundant number, since it is smaller than the sum of its proper divisors (385129616).

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

213086064 is a wasteful number, since it uses less digits than its factorization.

213086064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7598 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 213086064 is about 14597.4677256023. The cubic root of 213086064 is about 597.2896865474.

It can be divided in two parts, 21308 and 6064, that added together give a palindrome (27372).

The spelling of 213086064 in words is "two hundred thirteen million, eighty-six thousand, sixty-four".