1067328900 has 315 divisors, whose sum is σ = 3819800005. Its totient is φ = 258746400.

The previous prime is 1067328887. The next prime is 1067328907. The reversal of 1067328900 is 98237601.

The square root of 1067328900 is 32670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 384238404 + 683090496 = 19602^2 + 26136^2 .

It is a super-2 number, since 2×1067328900² = 2278381961550420000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1067328907) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 97029895 + ... + 97029905.

Almost surely, 2^1067328900 is an apocalyptic number.

1067328900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1067328900 is the 32670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067328900

1067328900 is an abundant number, since it is smaller than the sum of its proper divisors (2752471105).

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

1067328900 is an frugal number, since it uses more digits than its factorization.

1067328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 1067328900 is about 1021.9573143018.

Multiplying 1067328900 by its sum of digits (36), we get a square (38423840400 = 196020²).

1067328900 divided by its sum of digits (36) gives a square (29648025 = 5445²).

The spelling of 1067328900 in words is "one billion, sixty-seven million, three hundred twenty-eight thousand, nine hundred".