10988040 has 128 divisors (see below), whose sum is σ = 38338560. Its totient is φ = 2467584.

The previous prime is 10988017. The next prime is 10988051. The reversal of 10988040 is 4088901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10987989 and 10988007.

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, 86457 + ... + 86583.

It is an arithmetic number, because the mean of its divisors is an integer number (299520).

Almost surely, 2^10988040 is an apocalyptic number.

10988040 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 10988040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169280).

10988040 is an abundant number, since it is smaller than the sum of its proper divisors (27350520).

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

10988040 is a wasteful number, since it uses less digits than its factorization.

10988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10988040 is about 3314.8212621497. The cubic root of 10988040 is about 222.3173773970.

The spelling of 10988040 in words is "ten million, nine hundred eighty-eight thousand, forty".