9402768 has 120 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 2804736.

The previous prime is 9402749. The next prime is 9402781. The reversal of 9402768 is 8672049.

9402768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 56221 + ... + 56387.

Almost surely, 2^9402768 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 9402768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

9402768 is an abundant number, since it is smaller than the sum of its proper divisors (19845360).

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

9402768 is a wasteful number, since it uses less digits than its factorization.

9402768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

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

The square root of 9402768 is about 3066.3933211511. The cubic root of 9402768 is about 211.0661427972.

The spelling of 9402768 in words is "nine million, four hundred two thousand, seven hundred sixty-eight".