1151856640 has 104 divisors (see below), whose sum is σ = 3015991728. Its totient is φ = 418775040.

The previous prime is 1151856623. The next prime is 1151856649. The reversal of 1151856640 is 466581511.

It is a super-2 number, since 2×1151856640² = 2653547438224179200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1151856640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151856649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222724 + ... + 227836.

Almost surely, 2^1151856640 is an apocalyptic number.

1151856640 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 1151856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507995864).

1151856640 is an abundant number, since it is smaller than the sum of its proper divisors (1864135088).

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

1151856640 is an equidigital number, since it uses as much as digits as its factorization.

1151856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 1151856640 is about 33939.0135389937. The cubic root of 1151856640 is about 1048.2530709854.

The spelling of 1151856640 in words is "one billion, one hundred fifty-one million, eight hundred fifty-six thousand, six hundred forty".