1017660672 has 504 divisors, whose sum is σ = 3753274560. Its totient is φ = 268738560.

The previous prime is 1017660643. The next prime is 1017660697. The reversal of 1017660672 is 2760667101.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24820972 + ... + 24821012.

Almost surely, 2^1017660672 is an apocalyptic number.

1017660672 is a gapful number since it is divisible by the number (12) 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 1017660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876637280).

1017660672 is an abundant number, since it is smaller than the sum of its proper divisors (2735613888).

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

1017660672 is an frugal number, since it uses more digits than its factorization.

1017660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1017660672 is about 31900.7942220880. The cubic root of 1017660672 is about 1005.8525712545.

The spelling of 1017660672 in words is "one billion, seventeen million, six hundred sixty thousand, six hundred seventy-two".