210193920 has 160 divisors (see below), whose sum is σ = 746871840. Its totient is φ = 56033280.

The previous prime is 210193913. The next prime is 210193927. The reversal of 210193920 is 29391012.

It is an interprime number because it is at equal distance from previous prime (210193913) and next prime (210193927).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210193927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67600 + ... + 70640.

It is an arithmetic number, because the mean of its divisors is an integer number (4667949).

Almost surely, 2^210193920 is an apocalyptic number.

210193920 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 210193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373435920).

210193920 is an abundant number, since it is smaller than the sum of its proper divisors (536677920).

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

210193920 is an equidigital number, since it uses as much as digits as its factorization.

210193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 210193920 is about 14498.0660779292. The cubic root of 210193920 is about 594.5750985671.

The spelling of 210193920 in words is "two hundred ten million, one hundred ninety-three thousand, nine hundred twenty".