27002970 has 160 divisors (see below), whose sum is σ = 80446608. Its totient is φ = 6469632.

The previous prime is 27002929. The next prime is 27002981. The reversal of 27002970 is 7920072.

It can be written as a sum of positive squares in 8 ways, for example, as 23532201 + 3470769 = 4851^2 + 1863^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

27002970 is a modest number, since divided by 2970 gives 2700 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 509464 + ... + 509516.

Almost surely, 2^27002970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27002970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40223304).

27002970 is an abundant number, since it is smaller than the sum of its proper divisors (53443638).

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

27002970 is a wasteful number, since it uses less digits than its factorization.

27002970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 27002970 is about 5196.4382032311. The cubic root of 27002970 is about 300.0109995967.

It can be divided in two parts, 27002 and 970, that added together give a palindrome (27972).

The spelling of 27002970 in words is "twenty-seven million, two thousand, nine hundred seventy".