1096766400 has 168 divisors, whose sum is σ = 3686732784. Its totient is φ = 285286400.

The previous prime is 1096766389. The next prime is 1096766449. The reversal of 1096766400 is 46676901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194014 + ... + 199586.

It is an arithmetic number, because the mean of its divisors is an integer number (21944838).

Almost surely, 2^1096766400 is an apocalyptic number.

1096766400 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 1096766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843366392).

1096766400 is an abundant number, since it is smaller than the sum of its proper divisors (2589966384).

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

1096766400 is a wasteful number, since it uses less digits than its factorization.

1096766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1096766400 is about 33117.4636709999. The cubic root of 1096766400 is about 1031.2676132896.

The spelling of 1096766400 in words is "one billion, ninety-six million, seven hundred sixty-six thousand, four hundred".