1067680800 has 216 divisors, whose sum is σ = 3786109236. Its totient is φ = 283115520.

The previous prime is 1067680759. The next prime is 1067680847. The reversal of 1067680800 is 80867601.

It can be written as a sum of positive squares in 6 ways, for example, as 1004382864 + 63297936 = 31692^2 + 7956^2 .

It is a super-2 number, since 2×1067680800² = 2279884581377280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1850112 + ... + 1850688.

Almost surely, 2^1067680800 is an apocalyptic number.

1067680800 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 1067680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893054618).

1067680800 is an abundant number, since it is smaller than the sum of its proper divisors (2718428436).

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

1067680800 is a wasteful number, since it uses less digits than its factorization.

1067680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1067680800 is about 32675.3852310879. The cubic root of 1067680800 is about 1022.0696155999.

The spelling of 1067680800 in words is "one billion, sixty-seven million, six hundred eighty thousand, eight hundred".