10948680 has 96 divisors (see below), whose sum is σ = 37697400. Its totient is φ = 2746368.

The previous prime is 10948657. The next prime is 10948699. The reversal of 10948680 is 8684901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10929636 + 19044 = 3306^2 + 138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5226 + ... + 7014.

Almost surely, 2^10948680 is an apocalyptic number.

10948680 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 10948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848700).

10948680 is an abundant number, since it is smaller than the sum of its proper divisors (26748720).

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

10948680 is a wasteful number, since it uses less digits than its factorization.

10948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10948680 is about 3308.8789642415. The cubic root of 10948680 is about 222.0516071890.

It can be divided in two parts, 10948 and 680, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10948680 in words is "ten million, nine hundred forty-eight thousand, six hundred eighty".