1070193792 has 128 divisors (see below), whose sum is σ = 3053635200. Its totient is φ = 330874880.

The previous prime is 1070193781. The next prime is 1070193799. The reversal of 1070193792 is 2973910701.

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

It is a super-2 number, since 2×1070193792² = 2290629504870678528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1070193792.

It is not an unprimeable number, because it can be changed into a prime (1070193799) 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, 462334 + ... + 464642.

It is an arithmetic number, because the mean of its divisors is an integer number (23856525).

Almost surely, 2^1070193792 is an apocalyptic number.

1070193792 is a gapful number since it is divisible by the number (12) 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 1070193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526817600).

1070193792 is an abundant number, since it is smaller than the sum of its proper divisors (1983441408).

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

1070193792 is a wasteful number, since it uses less digits than its factorization.

1070193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 1070193792 is about 32713.8165306343. The cubic root of 1070193792 is about 1022.8708663990.

The spelling of 1070193792 in words is "one billion, seventy million, one hundred ninety-three thousand, seven hundred ninety-two".