1132784640 has 528 divisors, whose sum is σ = 4434882816. Its totient is φ = 265420800.

The previous prime is 1132784629. The next prime is 1132784663. The reversal of 1132784640 is 464872311.

1132784640 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 7 + 8 + 4 + 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 = 1132784595 and 1132784604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18570210 + ... + 18570270.

Almost surely, 2^1132784640 is an apocalyptic number.

1132784640 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 1132784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217441408).

1132784640 is an abundant number, since it is smaller than the sum of its proper divisors (3302098176).

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

1132784640 is a wasteful number, since it uses less digits than its factorization.

1132784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1132784640 is about 33656.8661642762. The cubic root of 1132784640 is about 1042.4353185203.

The spelling of 1132784640 in words is "one billion, one hundred thirty-two million, seven hundred eighty-four thousand, six hundred forty".