213066240 has 80 divisors (see below), whose sum is σ = 681170688. Its totient is φ = 56815616.

The previous prime is 213066199. The next prime is 213066251. The reversal of 213066240 is 42660312.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 213066240.

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, 6192 + ... + 21551.

Almost surely, 2^213066240 is an apocalyptic number.

213066240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213066240 is an abundant number, since it is smaller than the sum of its proper divisors (468104448).

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

213066240 is an equidigital number, since it uses as much as digits as its factorization.

213066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27769 (or 27753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 213066240 is about 14596.7886879272. The cubic root of 213066240 is about 597.2711634559.

The spelling of 213066240 in words is "two hundred thirteen million, sixty-six thousand, two hundred forty".