10770084 has 60 divisors (see below), whose sum is σ = 30332764. Its totient is φ = 3312576.

The previous prime is 10770059. The next prime is 10770101. The reversal of 10770084 is 48007701.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 7784100 = 1728^2 + 2790^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2934 + ... + 5490.

Almost surely, 2^10770084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10770084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15166382).

10770084 is an abundant number, since it is smaller than the sum of its proper divisors (19562680).

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

10770084 is a wasteful number, since it uses less digits than its factorization.

10770084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10770084 is about 3281.7806142398. The cubic root of 10770084 is about 220.8376058348.

Adding to 10770084 its reverse (48007701), we get a palindrome (58777785).

The spelling of 10770084 in words is "ten million, seven hundred seventy thousand, eighty-four".