1170728640 has 420 divisors, whose sum is σ = 4394716128. Its totient is φ = 295695360.

The previous prime is 1170728633. The next prime is 1170728641. The reversal of 1170728640 is 468270711.

1170728640 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 7 + 2 + 8 + 640 = 666.

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 = 1170728595 and 1170728604.

It is not an unprimeable number, because it can be changed into a prime (1170728641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24909097 + ... + 24909143.

Almost surely, 2^1170728640 is an apocalyptic number.

1170728640 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 1170728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197358064).

1170728640 is an abundant number, since it is smaller than the sum of its proper divisors (3223987488).

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

1170728640 is an equidigital number, since it uses as much as digits as its factorization.

1170728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1170728640 is about 34215.9120877992. The cubic root of 1170728640 is about 1053.9469408123.

The spelling of 1170728640 in words is "one billion, one hundred seventy million, seven hundred twenty-eight thousand, six hundred forty".