1101609600 has 576 divisors, whose sum is σ = 4536584640. Its totient is φ = 230031360.

The previous prime is 1101609581. The next prime is 1101609601. The reversal of 1101609600 is 69061011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1101609601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11356752 + ... + 11356848.

It is an arithmetic number, because the mean of its divisors is an integer number (7876015).

Almost surely, 2^1101609600 is an apocalyptic number.

1101609600 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 1101609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268292320).

1101609600 is an abundant number, since it is smaller than the sum of its proper divisors (3434975040).

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

1101609600 is a wasteful number, since it uses less digits than its factorization.

1101609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1101609600 is about 33190.5046662445. The cubic root of 1101609600 is about 1032.7833725153.

The spelling of 1101609600 in words is "one billion, one hundred one million, six hundred nine thousand, six hundred".