213193920 has 112 divisors (see below), whose sum is σ = 682252128. Its totient is φ = 56401920.

The previous prime is 213193907. The next prime is 213193961. The reversal of 213193920 is 29391312.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130710 + ... + 132330.

Almost surely, 2^213193920 is an apocalyptic number.

213193920 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 213193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341126064).

213193920 is an abundant number, since it is smaller than the sum of its proper divisors (469058208).

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

213193920 is a wasteful number, since it uses less digits than its factorization.

213193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 213193920 is about 14601.1615976264. The cubic root of 213193920 is about 597.3904445996.

The spelling of 213193920 in words is "two hundred thirteen million, one hundred ninety-three thousand, nine hundred twenty".