213613760 has 56 divisors (see below), whose sum is σ = 513685536. Its totient is φ = 84602880.

The previous prime is 213613753. The next prime is 213613769. The reversal of 213613760 is 67316312.

It is a super-2 number, since 2×213613760² = 91261676922675200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213613769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29720 + ... + 36200.

It is an arithmetic number, because the mean of its divisors is an integer number (9172956).

Almost surely, 2^213613760 is an apocalyptic number.

213613760 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 213613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256842768).

213613760 is an abundant number, since it is smaller than the sum of its proper divisors (300071776).

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

213613760 is a wasteful number, since it uses less digits than its factorization.

213613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 213613760 is about 14615.5314648493. The cubic root of 213613760 is about 597.7823318640.

The spelling of 213613760 in words is "two hundred thirteen million, six hundred thirteen thousand, seven hundred sixty".