1062048096 has 144 divisors (see below), whose sum is σ = 3185215488. Its totient is φ = 335174400.

The previous prime is 1062048077. The next prime is 1062048109. The reversal of 1062048096 is 6908402601.

1062048096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1062048096² = 2255892316434450432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1062048096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418351 + ... + 420881.

It is an arithmetic number, because the mean of its divisors is an integer number (22119552).

Almost surely, 2^1062048096 is an apocalyptic number.

1062048096 is a gapful number since it is divisible by the number (16) 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 1062048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592607744).

1062048096 is an abundant number, since it is smaller than the sum of its proper divisors (2123167392).

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

1062048096 is a wasteful number, since it uses less digits than its factorization.

1062048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1062048096 is about 32589.0793978596. The cubic root of 1062048096 is about 1020.2690870218.

The spelling of 1062048096 in words is "one billion, sixty-two million, forty-eight thousand, ninety-six".