1024540704 has 384 divisors, whose sum is σ = 3512678400. Its totient is φ = 287400960.

The previous prime is 1024540687. The next prime is 1024540711. The reversal of 1024540704 is 4070454201.

1024540704 is a `hidden beast` number, since 10 + 245 + 407 + 0 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 9399402 + ... + 9399510.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2^1024540704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756339200).

1024540704 is an abundant number, since it is smaller than the sum of its proper divisors (2488137696).

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

1024540704 is a wasteful number, since it uses less digits than its factorization.

1024540704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1024540704 is about 32008.4473850263. The cubic root of 1024540704 is about 1008.1142160827.

Adding to 1024540704 its reverse (4070454201), we get a palindrome (5094994905).

The spelling of 1024540704 in words is "one billion, twenty-four million, five hundred forty thousand, seven hundred four".