1162787440 has 80 divisors (see below), whose sum is σ = 2743636896. Its totient is φ = 458265600.

The previous prime is 1162787413. The next prime is 1162787449. The reversal of 1162787440 is 447872611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1162787393 and 1162787402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1162787449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1896574 + ... + 1897186.

Almost surely, 2^1162787440 is an apocalyptic number.

1162787440 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 1162787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371818448).

1162787440 is an abundant number, since it is smaller than the sum of its proper divisors (1580849456).

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

1162787440 is a wasteful number, since it uses less digits than its factorization.

1162787440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 1162787440 is about 34099.6692066067. The cubic root of 1162787440 is about 1051.5585139749.

The spelling of 1162787440 in words is "one billion, one hundred sixty-two million, seven hundred eighty-seven thousand, four hundred forty".