213806040 has 128 divisors (see below), whose sum is σ = 736128000. Its totient is φ = 48665088.

The previous prime is 213806027. The next prime is 213806053. The reversal of 213806040 is 40608312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213806027) and next prime (213806053).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213806040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301206 + ... + 301914.

It is an arithmetic number, because the mean of its divisors is an integer number (5751000).

Almost surely, 2^213806040 is an apocalyptic number.

213806040 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 213806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368064000).

213806040 is an abundant number, since it is smaller than the sum of its proper divisors (522321960).

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

213806040 is a wasteful number, since it uses less digits than its factorization.

213806040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 213806040 is about 14622.1079191750. The cubic root of 213806040 is about 597.9616385350.

The spelling of 213806040 in words is "two hundred thirteen million, eight hundred six thousand, forty".