1017056640 has 256 divisors, whose sum is σ = 3377848320. Its totient is φ = 260112384.

The previous prime is 1017056639. The next prime is 1017056687. The reversal of 1017056640 is 466507101.

1017056640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1017056598 and 1017056607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8008257 + ... + 8008383.

It is an arithmetic number, because the mean of its divisors is an integer number (13194720).

Almost surely, 2^1017056640 is an apocalyptic number.

1017056640 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 1017056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688924160).

1017056640 is an abundant number, since it is smaller than the sum of its proper divisors (2360791680).

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

1017056640 is a wasteful number, since it uses less digits than its factorization.

1017056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1017056640 is about 31891.3254663396. The cubic root of 1017056640 is about 1005.6535240987.

It can be divided in two parts, 101705 and 6640, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 1017056640 in words is "one billion, seventeen million, fifty-six thousand, six hundred forty".