1170599040 has 448 divisors, whose sum is σ = 4541939640. Its totient is φ = 286654464.

The previous prime is 1170599033. The next prime is 1170599113. The reversal of 1170599040 is 409950711.

It can be written as a sum of positive squares in 4 ways, for example, as 574848576 + 595750464 = 23976^2 + 24408^2 .

It is a super-2 number, since 2×1170599040² = 2740604224897843200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1170598986 and 1170599004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065184 + ... + 6065376.

Almost surely, 2^1170599040 is an apocalyptic number.

1170599040 is a gapful number since it is divisible by the number (10) 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 1170599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270969820).

1170599040 is an abundant number, since it is smaller than the sum of its proper divisors (3371340600).

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

1170599040 is an equidigital number, since it uses as much as digits as its factorization.

1170599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1170599040 is about 34214.0181796877. The cubic root of 1170599040 is about 1053.9080486331.

The spelling of 1170599040 in words is "one billion, one hundred seventy million, five hundred ninety-nine thousand, forty".