1067641600 has 108 divisors (see below), whose sum is σ = 2757854736. Its totient is φ = 408432640.

The previous prime is 1067641573. The next prime is 1067641607. The reversal of 1067641600 is 61467601.

1067641600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1067641600³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067641607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143574 + ... + 150826.

It is an arithmetic number, because the mean of its divisors is an integer number (25535692).

Almost surely, 2^1067641600 is an apocalyptic number.

1067641600 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 1067641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378927368).

1067641600 is an abundant number, since it is smaller than the sum of its proper divisors (1690213136).

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

1067641600 is an equidigital number, since it uses as much as digits as its factorization.

1067641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1067641600 is about 32674.7853856762. The cubic root of 1067641600 is about 1022.0571069865.

The spelling of 1067641600 in words is "one billion, sixty-seven million, six hundred forty-one thousand, six hundred".