213949680 has 320 divisors, whose sum is σ = 814233600. Its totient is φ = 46362624.

The previous prime is 213949667. The next prime is 213949721. The reversal of 213949680 is 86949312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1893304 + ... + 1893416.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^213949680 is an apocalyptic number.

213949680 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 213949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

213949680 is an abundant number, since it is smaller than the sum of its proper divisors (600283920).

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

213949680 is a wasteful number, since it uses less digits than its factorization.

213949680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 213949680 is about 14627.0188350190. The cubic root of 213949680 is about 598.0955168581.

The spelling of 213949680 in words is "two hundred thirteen million, nine hundred forty-nine thousand, six hundred eighty".