1070722560 has 320 divisors, whose sum is σ = 3712262400. Its totient is φ = 262275072.

The previous prime is 1070722559. The next prime is 1070722567. The reversal of 1070722560 is 652270701.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1070722560² = 2292893600985907200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070722567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7702971 + ... + 7703109.

It is an arithmetic number, because the mean of its divisors is an integer number (11600820).

Almost surely, 2^1070722560 is an apocalyptic number.

1070722560 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 1070722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

1070722560 is an abundant number, since it is smaller than the sum of its proper divisors (2641539840).

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

1070722560 is a wasteful number, since it uses less digits than its factorization.

1070722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1070722560 is about 32721.8972555077. The cubic root of 1070722560 is about 1023.0393007933.

The spelling of 1070722560 in words is "one billion, seventy million, seven hundred twenty-two thousand, five hundred sixty".