213366540 has 96 divisors (see below), whose sum is σ = 610110144. Its totient is φ = 55705600.

The previous prime is 213366539. The next prime is 213366551. The reversal of 213366540 is 45663312.

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 = 213366498 and 213366507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830092 + ... + 830348.

It is an arithmetic number, because the mean of its divisors is an integer number (6355314).

Almost surely, 2^213366540 is an apocalyptic number.

213366540 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 213366540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305055072).

213366540 is an abundant number, since it is smaller than the sum of its proper divisors (396743604).

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

213366540 is a wasteful number, since it uses less digits than its factorization.

213366540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 213366540 is about 14607.0715750968. The cubic root of 213366540 is about 597.5516338728.

The spelling of 213366540 in words is "two hundred thirteen million, three hundred sixty-six thousand, five hundred forty".