1024782640 has 80 divisors (see below), whose sum is σ = 2741253120. Its totient is φ = 348998400.

The previous prime is 1024782611. The next prime is 1024782667. The reversal of 1024782640 is 462874201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1024782596 and 1024782605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78501 + ... + 90619.

It is an arithmetic number, because the mean of its divisors is an integer number (34265664).

Almost surely, 2^1024782640 is an apocalyptic number.

1024782640 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 1024782640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370626560).

1024782640 is an abundant number, since it is smaller than the sum of its proper divisors (1716470480).

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

1024782640 is a wasteful number, since it uses less digits than its factorization.

1024782640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12290 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 1024782640 is about 32012.2264142936. The cubic root of 1024782640 is about 1008.1935621820.

The spelling of 1024782640 in words is "one billion, twenty-four million, seven hundred eighty-two thousand, six hundred forty".