1024567040 has 144 divisors (see below), whose sum is σ = 2874191040. Its totient is φ = 342589440.

The previous prime is 1024567003. The next prime is 1024567057. The reversal of 1024567040 is 407654201.

It is a junction number, because it is equal to n+sod(n) for n = 1024566994 and 1024567012.

It is a congruent number.

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, 365966 + ... + 368754.

It is an arithmetic number, because the mean of its divisors is an integer number (19959660).

Almost surely, 2^1024567040 is an apocalyptic number.

1024567040 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 1024567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437095520).

1024567040 is an abundant number, since it is smaller than the sum of its proper divisors (1849624000).

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

1024567040 is an equidigital number, since it uses as much as digits as its factorization.

1024567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 1024567040 is about 32008.8587737832. The cubic root of 1024567040 is about 1008.1228539267.

The spelling of 1024567040 in words is "one billion, twenty-four million, five hundred sixty-seven thousand, forty".