1079845536 has 288 divisors, whose sum is σ = 3692122560. Its totient is φ = 273100800.

The previous prime is 1079845531. The next prime is 1079845573. The reversal of 1079845536 is 6355489701.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1079845531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121250 + ... + 2121758.

It is an arithmetic number, because the mean of its divisors is an integer number (12819870).

Almost surely, 2^1079845536 is an apocalyptic number.

1079845536 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 1079845536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846061280).

1079845536 is an abundant number, since it is smaller than the sum of its proper divisors (2612277024).

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

1079845536 is a wasteful number, since it uses less digits than its factorization.

1079845536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 1079845536 is about 32861.0032713549. The cubic root of 1079845536 is about 1025.9366527620.

The spelling of 1079845536 in words is "one billion, seventy-nine million, eight hundred forty-five thousand, five hundred thirty-six".