1131308640 has 768 divisors, whose sum is σ = 5225472000. Its totient is φ = 221460480.

The previous prime is 1131308593. The next prime is 1131308683. The reversal of 1131308640 is 468031311.

1131308640 is a `hidden beast` number, since 1 + 1 + 3 + 13 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6320071 + ... + 6320249.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2^1131308640 is an apocalyptic number.

1131308640 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 1131308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736000).

1131308640 is an abundant number, since it is smaller than the sum of its proper divisors (4094163360).

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

1131308640 is a wasteful number, since it uses less digits than its factorization.

1131308640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1131308640 is about 33634.9318417624. The cubic root of 1131308640 is about 1041.9823629652.

Adding to 1131308640 its reverse (468031311), we get a palindrome (1599339951).

The spelling of 1131308640 in words is "one billion, one hundred thirty-one million, three hundred eight thousand, six hundred forty".