1099308672 has 576 divisors, whose sum is σ = 4336338240. Its totient is φ = 268738560.

The previous prime is 1099308671. The next prime is 1099308673. The reversal of 1099308672 is 2768039901.

It is an interprime number because it is at equal distance from previous prime (1099308671) and next prime (1099308673).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1099308671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64665208 + ... + 64665224.

It is an arithmetic number, because the mean of its divisors is an integer number (7528365).

Almost surely, 2^1099308672 is an apocalyptic number.

1099308672 is a gapful number since it is divisible by the number (12) 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 1099308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168169120).

1099308672 is an abundant number, since it is smaller than the sum of its proper divisors (3237029568).

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

1099308672 is an frugal number, since it uses more digits than its factorization.

1099308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1099308672 is about 33155.8241037680. The cubic root of 1099308672 is about 1032.0638143341.

The spelling of 1099308672 in words is "one billion, ninety-nine million, three hundred eight thousand, six hundred seventy-two".