1067201600 has 84 divisors (see below), whose sum is σ = 2662246644. Its totient is φ = 420986880.

The previous prime is 1067201593. The next prime is 1067201621. The reversal of 1067201600 is 61027601.

It can be written as a sum of positive squares in 6 ways, for example, as 200958976 + 866242624 = 14176^2 + 29432^2 .

It is a super-2 number, since 2×1067201600² = 2277838510085120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112232 + ... + 121368.

Almost surely, 2^1067201600 is an apocalyptic number.

1067201600 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 1067201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331123322).

1067201600 is an abundant number, since it is smaller than the sum of its proper divisors (1595045044).

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

1067201600 is an equidigital number, since it uses as much as digits as its factorization.

1067201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1067201600 is about 32668.0516713195. The cubic root of 1067201600 is about 1021.9166831716.

The spelling of 1067201600 in words is "one billion, sixty-seven million, two hundred one thousand, six hundred".