213269760 has 540 divisors, whose sum is σ = 888140484. Its totient is φ = 48660480.

The previous prime is 213269753. The next prime is 213269773. The reversal of 213269760 is 67962312.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 90326016 = 11088^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545272 + ... + 12545288.

Almost surely, 2^213269760 is an apocalyptic number.

213269760 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 213269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444070242).

213269760 is an abundant number, since it is smaller than the sum of its proper divisors (674870724).

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

213269760 is a wasteful number, since it uses less digits than its factorization.

213269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 213269760 is about 14603.7584203519. The cubic root of 213269760 is about 597.4612732613.

The spelling of 213269760 in words is "two hundred thirteen million, two hundred sixty-nine thousand, seven hundred sixty".