1067616400 has 60 divisors (see below), whose sum is σ = 2569794724. Its totient is φ = 426240000.

The previous prime is 1067616379. The next prime is 1067616413. The reversal of 1067616400 is 46167601.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 1067459584 = 396^2 + 32672^2 .

It is a super-2 number, since 2×1067616400² = 2279609555097920000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 238180 + ... + 242620.

Almost surely, 2^1067616400 is an apocalyptic number.

1067616400 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 1067616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284897362).

1067616400 is an abundant number, since it is smaller than the sum of its proper divisors (1502178324).

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

1067616400 is a wasteful number, since it uses less digits than its factorization.

1067616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5049 counting only the distinct ones).

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

The square root of 1067616400 is about 32674.3997649536. The cubic root of 1067616400 is about 1022.0490655733.

The spelling of 1067616400 in words is "one billion, sixty-seven million, six hundred sixteen thousand, four hundred".