213695280 has 320 divisors, whose sum is σ = 799948800. Its totient is φ = 52254720.

The previous prime is 213695269. The next prime is 213695291. The reversal of 213695280 is 82596312.

213695280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213695269) and next prime (213695291).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682577 + ... + 1682703.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^213695280 is an apocalyptic number.

213695280 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 213695280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

213695280 is an abundant number, since it is smaller than the sum of its proper divisors (586253520).

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

213695280 is a wasteful number, since it uses less digits than its factorization.

213695280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 213695280 is about 14618.3200129153. The cubic root of 213695280 is about 597.8583647594.

The spelling of 213695280 in words is "two hundred thirteen million, six hundred ninety-five thousand, two hundred eighty".