1167897600 has 396 divisors, whose sum is σ = 4325990604. Its totient is φ = 300810240.

The previous prime is 1167897551. The next prime is 1167897623. The reversal of 1167897600 is 67987611.

It can be written as a sum of positive squares in 6 ways, for example, as 19501056 + 1148396544 = 4416^2 + 33888^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8524732 + ... + 8524868.

Almost surely, 2^1167897600 is an apocalyptic number.

1167897600 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 1167897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162995302).

1167897600 is an abundant number, since it is smaller than the sum of its proper divisors (3158093004).

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

1167897600 is a wasteful number, since it uses less digits than its factorization.

1167897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1167897600 is about 34174.5168217489. The cubic root of 1167897600 is about 1053.0967084065.

It can be divided in two parts, 11678 and 97600, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 1167897600 in words is "one billion, one hundred sixty-seven million, eight hundred ninety-seven thousand, six hundred".