213117360 has 40 divisors (see below), whose sum is σ = 660664560. Its totient is φ = 56831232.

The previous prime is 213117341. The next prime is 213117383. The reversal of 213117360 is 63711312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 213117360.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443755 + ... + 444234.

It is an arithmetic number, because the mean of its divisors is an integer number (16516614).

Almost surely, 2^213117360 is an apocalyptic number.

213117360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213117360 is an abundant number, since it is smaller than the sum of its proper divisors (447547200).

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

213117360 is a wasteful number, since it uses less digits than its factorization.

213117360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888005 (or 887999 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 213117360 is about 14598.5396529927. The cubic root of 213117360 is about 597.3189264746.

Adding to 213117360 its reverse (63711312), we get a palindrome (276828672).

It can be divided in two parts, 2131 and 17360, that added together give a palindrome (19491).

The spelling of 213117360 in words is "two hundred thirteen million, one hundred seventeen thousand, three hundred sixty".