1049967360 has 720 divisors, whose sum is σ = 4362795360. Its totient is φ = 238878720.

The previous prime is 1049967349. The next prime is 1049967371. The reversal of 1049967360 is 637699401.

It is an interprime number because it is at equal distance from previous prime (1049967349) and next prime (1049967371).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1049967360² = 2204862914130739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25608940 + ... + 25608980.

It is an arithmetic number, because the mean of its divisors is an integer number (6059438).

Almost surely, 2^1049967360 is an apocalyptic number.

1049967360 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 1049967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181397680).

1049967360 is an abundant number, since it is smaller than the sum of its proper divisors (3312828000).

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

1049967360 is a wasteful number, since it uses less digits than its factorization.

1049967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1049967360 is about 32403.1998419909. The cubic root of 1049967360 is about 1016.3858249035.

The spelling of 1049967360 in words is "one billion, forty-nine million, nine hundred sixty-seven thousand, three hundred sixty".