213766740 has 144 divisors (see below), whose sum is σ = 714692160. Its totient is φ = 51287040.

The previous prime is 213766727. The next prime is 213766741. The reversal of 213766740 is 47667312.

213766740 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

213766740 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 213766695 and 213766704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213766741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211356 + ... + 212364.

It is an arithmetic number, because the mean of its divisors is an integer number (4963140).

Almost surely, 2^213766740 is an apocalyptic number.

213766740 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 213766740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357346080).

213766740 is an abundant number, since it is smaller than the sum of its proper divisors (500925420).

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

213766740 is a wasteful number, since it uses less digits than its factorization.

213766740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 213766740 is about 14620.7640019255. The cubic root of 213766740 is about 597.9249988897.

The spelling of 213766740 in words is "two hundred thirteen million, seven hundred sixty-six thousand, seven hundred forty".