1079005536 has 288 divisors, whose sum is σ = 3729293568. Its totient is φ = 300464640.

The previous prime is 1079005519. The next prime is 1079005541. The reversal of 1079005536 is 6355009701.

It is a happy number.

1079005536 is a `hidden beast` number, since 10 + 7 + 90 + 0 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 1079005536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340346 + ... + 2340806.

It is an arithmetic number, because the mean of its divisors is an integer number (12948936).

Almost surely, 2^1079005536 is an apocalyptic number.

1079005536 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 1079005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864646784).

1079005536 is an abundant number, since it is smaller than the sum of its proper divisors (2650288032).

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

1079005536 is an equidigital number, since it uses as much as digits as its factorization.

1079005536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 1079005536 is about 32848.2196777847. The cubic root of 1079005536 is about 1025.6705621301.

The spelling of 1079005536 in words is "one billion, seventy-nine million, five thousand, five hundred thirty-six".