213664740 has 48 divisors (see below), whose sum is σ = 600093312. Its totient is φ = 56802816.

The previous prime is 213664739. The next prime is 213664753. The reversal of 213664740 is 47466312.

It is a happy number.

213664740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213664740² = 91305242238535200, which contains 22 as substring.

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, 14937 + ... + 25503.

It is an arithmetic number, because the mean of its divisors is an integer number (12501944).

Almost surely, 2^213664740 is an apocalyptic number.

213664740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213664740 is an abundant number, since it is smaller than the sum of its proper divisors (386428572).

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

213664740 is a wasteful number, since it uses less digits than its factorization.

213664740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 213664740 is about 14617.2753959142. The cubic root of 213664740 is about 597.8298826698.

It can be divided in two parts, 21366 and 4740, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 213664740 in words is "two hundred thirteen million, six hundred sixty-four thousand, seven hundred forty".