213764940 has 96 divisors (see below), whose sum is σ = 667215360. Its totient is φ = 56818368.

The previous prime is 213764893. The next prime is 213764963. The reversal of 213764940 is 49467312.

213764940 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 649 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213764895 and 213764904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271227 + ... + 272013.

It is an arithmetic number, because the mean of its divisors is an integer number (6950160).

Almost surely, 2^213764940 is an apocalyptic number.

213764940 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 213764940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333607680).

213764940 is an abundant number, since it is smaller than the sum of its proper divisors (453450420).

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

213764940 is a wasteful number, since it uses less digits than its factorization.

213764940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 213764940 is about 14620.7024455051. The cubic root of 213764940 is about 597.9233206305.

The spelling of 213764940 in words is "two hundred thirteen million, seven hundred sixty-four thousand, nine hundred forty".