1103627616 has 384 divisors, whose sum is σ = 3849753600. Its totient is φ = 268738560.

The previous prime is 1103627563. The next prime is 1103627617. The reversal of 1103627616 is 6167263011.

1103627616 = 74² + 75² + ... + 1490².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103627617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10124970 + ... + 10125078.

It is an arithmetic number, because the mean of its divisors is an integer number (10025400).

Almost surely, 2^1103627616 is an apocalyptic number.

1103627616 is a gapful number since it is divisible by the number (16) 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 1103627616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924876800).

1103627616 is an abundant number, since it is smaller than the sum of its proper divisors (2746125984).

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

1103627616 is a wasteful number, since it uses less digits than its factorization.

1103627616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1103627616 is about 33220.8912583633. The cubic root of 1103627616 is about 1033.4136327008.

The spelling of 1103627616 in words is "one billion, one hundred three million, six hundred twenty-seven thousand, six hundred sixteen".