213619680 has 240 divisors, whose sum is σ = 770593824. Its totient is φ = 55710720.

The previous prime is 213619649. The next prime is 213619691. The reversal of 213619680 is 86916312.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 686725 + ... + 687035.

Almost surely, 2^213619680 is an apocalyptic number.

213619680 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 213619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385296912).

213619680 is an abundant number, since it is smaller than the sum of its proper divisors (556974144).

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

213619680 is a wasteful number, since it uses less digits than its factorization.

213619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 213619680 is about 14615.7339877271. The cubic root of 213619680 is about 597.7878540405.

The spelling of 213619680 in words is "two hundred thirteen million, six hundred nineteen thousand, six hundred eighty".