213293640 has 128 divisors (see below), whose sum is σ = 754974720. Its totient is φ = 47174400.

The previous prime is 213293627. The next prime is 213293653. The reversal of 213293640 is 46392312.

It is an interprime number because it is at equal distance from previous prime (213293627) and next prime (213293653).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213293598 and 213293607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21945 + ... + 30135.

It is an arithmetic number, because the mean of its divisors is an integer number (5898240).

Almost surely, 2^213293640 is an apocalyptic number.

213293640 is a gapful number since it is divisible by the number (20) 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 213293640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377487360).

213293640 is an abundant number, since it is smaller than the sum of its proper divisors (541681080).

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

213293640 is a wasteful number, since it uses less digits than its factorization.

213293640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 213293640 is about 14604.5759952147. The cubic root of 213293640 is about 597.4835718481.

The spelling of 213293640 in words is "two hundred thirteen million, two hundred ninety-three thousand, six hundred forty".