213940920 has 192 divisors, whose sum is σ = 707328000. Its totient is φ = 51701760.

The previous prime is 213940907. The next prime is 213940933. The reversal of 213940920 is 29049312.

It is an interprime number because it is at equal distance from previous prime (213940907) and next prime (213940933).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074981 + ... + 1075179.

It is an arithmetic number, because the mean of its divisors is an integer number (3684000).

Almost surely, 2^213940920 is an apocalyptic number.

213940920 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 213940920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353664000).

213940920 is an abundant number, since it is smaller than the sum of its proper divisors (493387080).

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

213940920 is a wasteful number, since it uses less digits than its factorization.

213940920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 213940920 is about 14626.7193861098. The cubic root of 213940920 is about 598.0873538978.

The spelling of 213940920 in words is "two hundred thirteen million, nine hundred forty thousand, nine hundred twenty".