1070112384 has 240 divisors, whose sum is σ = 3504572610. Its totient is φ = 323896320.

The previous prime is 1070112371. The next prime is 1070112389. The reversal of 1070112384 is 4832110701.

1070112384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1054430784 + 15681600 = 32472^2 + 3960^2 .

It is a super-2 number, since 2×1070112384² = 2290281028780326912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1070112389) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254102 + ... + 1254954.

Almost surely, 2^1070112384 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 1070112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752286305).

1070112384 is an abundant number, since it is smaller than the sum of its proper divisors (2434460226).

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

1070112384 is an equidigital number, since it uses as much as digits as its factorization.

1070112384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1070112384 is about 32712.5722620524. The cubic root of 1070112384 is about 1022.8449296688.

The spelling of 1070112384 in words is "one billion, seventy million, one hundred twelve thousand, three hundred eighty-four".