213065424 has 160 divisors (see below), whose sum is σ = 718704000. Its totient is φ = 59581440.

The previous prime is 213065357. The next prime is 213065431. The reversal of 213065424 is 424560312.

213065424 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 654 + 2 + 4 = 666.

213065424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60052 + ... + 63500.

It is an arithmetic number, because the mean of its divisors is an integer number (4491900).

Almost surely, 2^213065424 is an apocalyptic number.

213065424 is a gapful number since it is divisible by the number (24) 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 213065424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359352000).

213065424 is an abundant number, since it is smaller than the sum of its proper divisors (505638576).

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

213065424 is a wasteful number, since it uses less digits than its factorization.

213065424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 213065424 is about 14596.7607365470. The cubic root of 213065424 is about 597.2704009796.

The spelling of 213065424 in words is "two hundred thirteen million, sixty-five thousand, four hundred twenty-four".