1042833360 has 160 divisors (see below), whose sum is σ = 3341036160. Its totient is φ = 268902400.

The previous prime is 1042833349. The next prime is 1042833403. The reversal of 1042833360 is 633382401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1288636 + ... + 1289444.

It is an arithmetic number, because the mean of its divisors is an integer number (20881476).

Almost surely, 2^1042833360 is an apocalyptic number.

1042833360 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 1042833360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670518080).

1042833360 is an abundant number, since it is smaller than the sum of its proper divisors (2298202800).

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

1042833360 is a wasteful number, since it uses less digits than its factorization.

1042833360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1042833360 is about 32292.9304956983. The cubic root of 1042833360 is about 1014.0786481641.

The spelling of 1042833360 in words is "one billion, forty-two million, eight hundred thirty-three thousand, three hundred sixty".