213074560 has 48 divisors (see below), whose sum is σ = 510265710. Its totient is φ = 85082112.

The previous prime is 213074441. The next prime is 213074567. The reversal of 213074560 is 65470312.

It can be written as a sum of positive squares in 3 ways, for example, as 201185856 + 11888704 = 14184^2 + 3448^2 .

It is not an unprimeable number, because it can be changed into a prime (213074567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368992 + ... + 369568.

Almost surely, 2^213074560 is an apocalyptic number.

213074560 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 213074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255132855).

213074560 is an abundant number, since it is smaller than the sum of its proper divisors (297191150).

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

213074560 is an frugal number, since it uses more digits than its factorization.

213074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 213074560 is about 14597.0736793372. The cubic root of 213074560 is about 597.2789376133.

The spelling of 213074560 in words is "two hundred thirteen million, seventy-four thousand, five hundred sixty".