10613980 has 24 divisors (see below), whose sum is σ = 24004512. Its totient is φ = 3918912.

The previous prime is 10613969. The next prime is 10613983. The reversal of 10613980 is 8931601.

It is a happy number.

It is a super-2 number, since 2×10613980² = 225313142880800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20152 + ... + 20671.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 2^10613980 is an apocalyptic number.

10613980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10613980 is an abundant number, since it is smaller than the sum of its proper divisors (13390532).

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

10613980 is a wasteful number, since it uses less digits than its factorization.

10613980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40845 (or 40843 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 10613980 is about 3257.9103732301. The cubic root of 10613980 is about 219.7654525113.

It can be divided in two parts, 1061 and 3980, that added together give a square (5041 = 71²).

The spelling of 10613980 in words is "ten million, six hundred thirteen thousand, nine hundred eighty".