1020917040 has 320 divisors, whose sum is σ = 3761759232. Its totient is φ = 225792000.

The previous prime is 1020917011. The next prime is 1020917047. The reversal of 1020917040 is 407190201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1020917040.

It is not an unprimeable number, because it can be changed into a prime (1020917047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5182222 + ... + 5182418.

Almost surely, 2^1020917040 is an apocalyptic number.

1020917040 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 1020917040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880879616).

1020917040 is an abundant number, since it is smaller than the sum of its proper divisors (2740842192).

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

1020917040 is a wasteful number, since it uses less digits than its factorization.

1020917040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1020917040 is about 31951.7924379838. The cubic root of 1020917040 is about 1006.9242902082.

The spelling of 1020917040 in words is "one billion, twenty million, nine hundred seventeen thousand, forty".