213901680 has 160 divisors (see below), whose sum is σ = 697008960. Its totient is φ = 54190080.

The previous prime is 213901673. The next prime is 213901687. The reversal of 213901680 is 86109312.

It is an interprime number because it is at equal distance from previous prime (213901673) and next prime (213901687).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213901687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507870 + ... + 508290.

It is an arithmetic number, because the mean of its divisors is an integer number (4356306).

Almost surely, 2^213901680 is an apocalyptic number.

213901680 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 213901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348504480).

213901680 is an abundant number, since it is smaller than the sum of its proper divisors (483107280).

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

213901680 is a wasteful number, since it uses less digits than its factorization.

213901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 213901680 is about 14625.3779438345. The cubic root of 213901680 is about 598.0507855736.

The spelling of 213901680 in words is "two hundred thirteen million, nine hundred one thousand, six hundred eighty".