213962840 has 128 divisors (see below), whose sum is σ = 606735360. Its totient is φ = 66092544.

The previous prime is 213962809. The next prime is 213962849. The reversal of 213962840 is 48269312.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 213962840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213962849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155837 + ... + 157203.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2^213962840 is an apocalyptic number.

213962840 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 213962840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303367680).

213962840 is an abundant number, since it is smaller than the sum of its proper divisors (392772520).

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

213962840 is a wasteful number, since it uses less digits than its factorization.

213962840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 213962840 is about 14627.4686805339. The cubic root of 213962840 is about 598.1077795167.

The spelling of 213962840 in words is "two hundred thirteen million, nine hundred sixty-two thousand, eight hundred forty".