213769116 has 72 divisors (see below), whose sum is σ = 592750704. Its totient is φ = 64419840.

The previous prime is 213769111. The next prime is 213769123. The reversal of 213769116 is 611967312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213769111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75030 + ... + 77826.

Almost surely, 2^213769116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213769116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296375352).

213769116 is an abundant number, since it is smaller than the sum of its proper divisors (378981588).

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

213769116 is a wasteful number, since it uses less digits than its factorization.

213769116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3006 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 213769116 is about 14620.8452560035. The cubic root of 213769116 is about 597.9272141775.

It can be divided in two parts, 2137 and 69116, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 213769116 in words is "two hundred thirteen million, seven hundred sixty-nine thousand, one hundred sixteen".