1023704640 has 672 divisors, whose sum is σ = 4450567680. Its totient is φ = 210567168.

The previous prime is 1023704639. The next prime is 1023704659. The reversal of 1023704640 is 464073201.

1023704640 is a `hidden beast` number, since 10 + 2 + 3 + 7 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1023704640³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9938829 + ... + 9938931.

Almost surely, 2^1023704640 is an apocalyptic number.

1023704640 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 1023704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225283840).

1023704640 is an abundant number, since it is smaller than the sum of its proper divisors (3426863040).

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

1023704640 is a wasteful number, since it uses less digits than its factorization.

1023704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1023704640 is about 31995.3846671672. The cubic root of 1023704640 is about 1007.8399216696.

Adding to 1023704640 its reverse (464073201), we get a palindrome (1487777841).

The spelling of 1023704640 in words is "one billion, twenty-three million, seven hundred four thousand, six hundred forty".