1106670400 has 168 divisors, whose sum is σ = 2994513696. Its totient is φ = 399206400.

The previous prime is 1106670391. The next prime is 1106670427. The reversal of 1106670400 is 40766011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 3995062 + ... + 3995338.

Almost surely, 2^1106670400 is an apocalyptic number.

1106670400 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 1106670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497256848).

1106670400 is an abundant number, since it is smaller than the sum of its proper divisors (1887843296).

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

1106670400 is a wasteful number, since it uses less digits than its factorization.

1106670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1106670400 is about 33266.6559786222. The cubic root of 1106670400 is about 1034.3624941366.

The spelling of 1106670400 in words is "one billion, one hundred six million, six hundred seventy thousand, four hundred".