213041160 has 96 divisors (see below), whose sum is σ = 698644440. Its totient is φ = 56297472.

The previous prime is 213041159. The next prime is 213041233. The reversal of 213041160 is 61140312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 146748996 + 66292164 = 12114^2 + 8142^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38062 + ... + 43298.

Almost surely, 2^213041160 is an apocalyptic number.

213041160 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 213041160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349322220).

213041160 is an abundant number, since it is smaller than the sum of its proper divisors (485603280).

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

213041160 is a wasteful number, since it uses less digits than its factorization.

213041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213041160 is about 14595.9295695752. The cubic root of 213041160 is about 597.2477276322.

Adding to 213041160 its reverse (61140312), we get a palindrome (274181472).

The spelling of 213041160 in words is "two hundred thirteen million, forty-one thousand, one hundred sixty".