1061005824 has 320 divisors, whose sum is σ = 3394068480. Its totient is φ = 326430720.

The previous prime is 1061005823. The next prime is 1061005859. The reversal of 1061005824 is 4285001601.

1061005824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061005824² = 2251466717123837952, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061005823) 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, 14943709 + ... + 14943779.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^1061005824 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 1061005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

1061005824 is an abundant number, since it is smaller than the sum of its proper divisors (2333062656).

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

1061005824 is an equidigital number, since it uses as much as digits as its factorization.

1061005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1061005824 is about 32573.0843488915. The cubic root of 1061005824 is about 1019.9352207995.

The spelling of 1061005824 in words is "one billion, sixty-one million, five thousand, eight hundred twenty-four".