213870540 has 144 divisors (see below), whose sum is σ = 688256352. Its totient is φ = 49158144.

The previous prime is 213870533. The next prime is 213870607. The reversal of 213870540 is 45078312.

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 = 213870498 and 213870507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1683957 + ... + 1684083.

It is an arithmetic number, because the mean of its divisors is an integer number (4779558).

Almost surely, 2^213870540 is an apocalyptic number.

213870540 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 213870540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344128176).

213870540 is an abundant number, since it is smaller than the sum of its proper divisors (474385812).

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

213870540 is a wasteful number, since it uses less digits than its factorization.

213870540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 213870540 is about 14624.3133172125. The cubic root of 213870540 is about 598.0217625738.

The spelling of 213870540 in words is "two hundred thirteen million, eight hundred seventy thousand, five hundred forty".