213723680 has 48 divisors (see below), whose sum is σ = 509433624. Its totient is φ = 84725760.

The previous prime is 213723637. The next prime is 213723683. The reversal of 213723680 is 86327312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63808144 + 149915536 = 7988^2 + 12244^2 .

It is a super-2 number, since 2×213723680² = 91355622785484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (213723683) 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, 12170 + ... + 23990.

Almost surely, 2^213723680 is an apocalyptic number.

213723680 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 213723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254716812).

213723680 is an abundant number, since it is smaller than the sum of its proper divisors (295709944).

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

213723680 is a wasteful number, since it uses less digits than its factorization.

213723680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949 (or 11941 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 213723680 is about 14619.2913644951. The cubic root of 213723680 is about 597.8848486159.

It can be divided in two parts, 21372 and 3680, that added together give a palindrome (25052).

The spelling of 213723680 in words is "two hundred thirteen million, seven hundred twenty-three thousand, six hundred eighty".