10618880 has 96 divisors (see below), whose sum is σ = 27420120. Its totient is φ = 3932160.

The previous prime is 10618873. The next prime is 10618919. The reversal of 10618880 is 8881601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7054336 + 3564544 = 2656^2 + 1888^2 .

It is a super-2 number, since 2×10618880² = 225521224908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174050 + ... + 174110.

Almost surely, 2^10618880 is an apocalyptic number.

10618880 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 10618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710060).

10618880 is an abundant number, since it is smaller than the sum of its proper divisors (16801240).

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

10618880 is an equidigital number, since it uses as much as digits as its factorization.

10618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 10618880 is about 3258.6623022338. The cubic root of 10618880 is about 219.7992659362.

The spelling of 10618880 in words is "ten million, six hundred eighteen thousand, eight hundred eighty".