9780264 has 128 divisors (see below), whose sum is σ = 30307200. Its totient is φ = 2939328.

The previous prime is 9780241. The next prime is 9780317. The reversal of 9780264 is 4620879.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 227427 + ... + 227469.

It is an arithmetic number, because the mean of its divisors is an integer number (236775).

Almost surely, 2^9780264 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 9780264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153600).

9780264 is an abundant number, since it is smaller than the sum of its proper divisors (20526936).

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

9780264 is a wasteful number, since it uses less digits than its factorization.

9780264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9780264 is about 3127.3413628832. The cubic root of 9780264 is about 213.8537446527.

The spelling of 9780264 in words is "nine million, seven hundred eighty thousand, two hundred sixty-four".