1023360 has 128 divisors (see below), whose sum is σ = 3598560. Its totient is φ = 245760.

The previous prime is 1023353. The next prime is 1023361. The reversal of 1023360 is 633201.

1023360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24940 + ... + 24980.

2^1023360 is an apocalyptic number.

1023360 is a gapful number since it is divisible by the number (10) 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 1023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799280).

1023360 is an abundant number, since it is smaller than the sum of its proper divisors (2575200).

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

1023360 is a wasteful number, since it uses less digits than its factorization.

1023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1023360 is about 1011.6125740618. The cubic root of 1023360 is about 100.7726809312.

Adding to 1023360 its reverse (633201), we get a palindrome (1656561).

The spelling of 1023360 in words is "one million, twenty-three thousand, three hundred sixty".