213964840 has 16 divisors (see below), whose sum is σ = 481420980. Its totient is φ = 85585920.

The previous prime is 213964823. The next prime is 213964853. The reversal of 213964840 is 48469312.

It can be written as a sum of positive squares in 2 ways, for example, as 176730436 + 37234404 = 13294^2 + 6102^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213964840.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2674521 + ... + 2674600.

Almost surely, 2^213964840 is an apocalyptic number.

213964840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213964840 is an abundant number, since it is smaller than the sum of its proper divisors (267456140).

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

213964840 is a wasteful number, since it uses less digits than its factorization.

213964840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349132 (or 5349128 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 213964840 is about 14627.5370449027. The cubic root of 213964840 is about 598.1096430986.

The spelling of 213964840 in words is "two hundred thirteen million, nine hundred sixty-four thousand, eight hundred forty".