1067682960 has 240 divisors, whose sum is σ = 3997244160. Its totient is φ = 253808640.

The previous prime is 1067682949. The next prime is 1067682961. The reversal of 1067682960 is 692867601.

1067682960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1067682960² = 2279893806148723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1067682961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230265 + ... + 234855.

It is an arithmetic number, because the mean of its divisors is an integer number (16655184).

Almost surely, 2^1067682960 is an apocalyptic number.

1067682960 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 1067682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998622080).

1067682960 is an abundant number, since it is smaller than the sum of its proper divisors (2929561200).

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

1067682960 is a wasteful number, since it uses less digits than its factorization.

1067682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1067682960 is about 32675.4182834742. The cubic root of 1067682960 is about 1022.0703048412.

It can be divided in two parts, 10676 and 82960, that added together give a square (93636 = 306²).

The spelling of 1067682960 in words is "one billion, sixty-seven million, six hundred eighty-two thousand, nine hundred sixty".