1073582640 has 480 divisors, whose sum is σ = 4264280640. Its totient is φ = 247283712.

The previous prime is 1073582621. The next prime is 1073582647. The reversal of 1073582640 is 462853701.

1073582640 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 5 + 8 + 2 + 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 = 1073582595 and 1073582604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073582647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6205594 + ... + 6205766.

It is an arithmetic number, because the mean of its divisors is an integer number (8883918).

Almost surely, 2^1073582640 is an apocalyptic number.

1073582640 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 1073582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132140320).

1073582640 is an abundant number, since it is smaller than the sum of its proper divisors (3190698000).

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

1073582640 is a wasteful number, since it uses less digits than its factorization.

1073582640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1073582640 is about 32765.5709548911. The cubic root of 1073582640 is about 1023.9493942683.

The spelling of 1073582640 in words is "one billion, seventy-three million, five hundred eighty-two thousand, six hundred forty".