1017006364 has 48 divisors (see below), whose sum is σ = 2060432640. Its totient is φ = 434656640.

The previous prime is 1017006329. The next prime is 1017006379. The reversal of 1017006364 is 4636007101.

1017006364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1017006364⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51192 + ... + 68224.

It is an arithmetic number, because the mean of its divisors is an integer number (42925680).

Almost surely, 2^1017006364 is an apocalyptic number.

It is an amenable number.

1017006364 is an abundant number, since it is smaller than the sum of its proper divisors (1043426276).

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

1017006364 is a wasteful number, since it uses less digits than its factorization.

1017006364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17130 (or 17128 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1017006364 is about 31890.5372171746. The cubic root of 1017006364 is about 1005.6369530551.

The spelling of 1017006364 in words is "one billion, seventeen million, six thousand, three hundred sixty-four".