213929760 has 192 divisors, whose sum is σ = 759435264. Its totient is φ = 50150400.

The previous prime is 213929753. The next prime is 213929767. The reversal of 213929760 is 67929312.

It is an interprime number because it is at equal distance from previous prime (213929753) and next prime (213929767).

It is not an unprimeable number, because it can be changed into a prime (213929767) 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, 163027 + ... + 164333.

It is an arithmetic number, because the mean of its divisors is an integer number (3955392).

Almost surely, 2^213929760 is an apocalyptic number.

213929760 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 213929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379717632).

213929760 is an abundant number, since it is smaller than the sum of its proper divisors (545505504).

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

213929760 is a wasteful number, since it uses less digits than its factorization.

213929760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 213929760 is about 14626.3378875233. The cubic root of 213929760 is about 598.0769541873.

The spelling of 213929760 in words is "two hundred thirteen million, nine hundred twenty-nine thousand, seven hundred sixty".