213884640 has 72 divisors (see below), whose sum is σ = 729886248. Its totient is φ = 57035520.

The previous prime is 213884611. The next prime is 213884641. The reversal of 213884640 is 46488312.

213884640 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 213884595 and 213884604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213884641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72826 + ... + 75705.

It is an arithmetic number, because the mean of its divisors is an integer number (10137309).

Almost surely, 2^213884640 is an apocalyptic number.

213884640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213884640 is an abundant number, since it is smaller than the sum of its proper divisors (516001608).

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

213884640 is a wasteful number, since it uses less digits than its factorization.

213884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148552 (or 148541 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 213884640 is about 14624.7953831840. The cubic root of 213884640 is about 598.0349043582.

The spelling of 213884640 in words is "two hundred thirteen million, eight hundred eighty-four thousand, six hundred forty".