1060117632 has 256 divisors, whose sum is σ = 3626630400. Its totient is φ = 302330880.

The previous prime is 1060117627. The next prime is 1060117651. The reversal of 1060117632 is 2367110601.

1060117632 is a `hidden beast` number, since 10 + 6 + 0 + 1 + 17 + 632 = 666.

It is a super-2 number, since 2×1060117632² = 2247698787354574848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1060117596 and 1060117605.

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, 1959282 + ... + 1959822.

It is an arithmetic number, because the mean of its divisors is an integer number (14166525).

Almost surely, 2^1060117632 is an apocalyptic number.

1060117632 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 1060117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813315200).

1060117632 is an abundant number, since it is smaller than the sum of its proper divisors (2566512768).

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

1060117632 is an frugal number, since it uses more digits than its factorization.

1060117632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1060117632 is about 32559.4476611628. The cubic root of 1060117632 is about 1019.6505377238.

The spelling of 1060117632 in words is "one billion, sixty million, one hundred seventeen thousand, six hundred thirty-two".