1103639040 has 320 divisors, whose sum is σ = 4482213120. Its totient is φ = 252149760.

The previous prime is 1103639027. The next prime is 1103639057. The reversal of 1103639040 is 409363011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1103639040² = 2436038261224243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1103638995 and 1103639013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482700 + ... + 484980.

It is an arithmetic number, because the mean of its divisors is an integer number (14006916).

Almost surely, 2^1103639040 is an apocalyptic number.

1103639040 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 1103639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241106560).

1103639040 is an abundant number, since it is smaller than the sum of its proper divisors (3378574080).

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

1103639040 is an equidigital number, since it uses as much as digits as its factorization.

1103639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1103639040 is about 33221.0631979171. The cubic root of 1103639040 is about 1033.4171984194.

The spelling of 1103639040 in words is "one billion, one hundred three million, six hundred thirty-nine thousand, forty".