213671640 has 256 divisors, whose sum is σ = 836075520. Its totient is φ = 42393600.

The previous prime is 213671629. The next prime is 213671659. The reversal of 213671640 is 46176312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213671598 and 213671607.

It is a congruent number.

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, 185065 + ... + 186215.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^213671640 is an apocalyptic number.

213671640 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 213671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

213671640 is an abundant number, since it is smaller than the sum of its proper divisors (622403880).

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

213671640 is a wasteful number, since it uses less digits than its factorization.

213671640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 213671640 is about 14617.5114161064. The cubic root of 213671640 is about 597.8363179568.

The spelling of 213671640 in words is "two hundred thirteen million, six hundred seventy-one thousand, six hundred forty".