1023863040 has 432 divisors, whose sum is σ = 3795757056. Its totient is φ = 254361600.

The previous prime is 1023863023. The next prime is 1023863053. The reversal of 1023863040 is 403683201.

It is a happy number.

1023863040 is a `hidden beast` number, since 1 + 0 + 23 + 8 + 630 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1023862995 and 1023863013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16784610 + ... + 16784670.

Almost surely, 2^1023863040 is an apocalyptic number.

1023863040 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 1023863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897878528).

1023863040 is an abundant number, since it is smaller than the sum of its proper divisors (2771894016).

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

1023863040 is a wasteful number, since it uses less digits than its factorization.

1023863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1023863040 is about 31997.8599284390. The cubic root of 1023863040 is about 1007.8919007282.

The spelling of 1023863040 in words is "one billion, twenty-three million, eight hundred sixty-three thousand, forty".