213488940 has 192 divisors, whose sum is σ = 743178240. Its totient is φ = 44686080.

The previous prime is 213488939. The next prime is 213488969. The reversal of 213488940 is 49884312.

213488940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246949 + ... + 247811.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2^213488940 is an apocalyptic number.

213488940 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 213488940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371589120).

213488940 is an abundant number, since it is smaller than the sum of its proper divisors (529689300).

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

213488940 is a wasteful number, since it uses less digits than its factorization.

213488940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 213488940 is about 14611.2607258922. The cubic root of 213488940 is about 597.6658759943.

The spelling of 213488940 in words is "two hundred thirteen million, four hundred eighty-eight thousand, nine hundred forty".