10552680 has 80 divisors (see below), whose sum is σ = 35479620. Its totient is φ = 2813184.

The previous prime is 10552669. The next prime is 10552687. The reversal of 10552680 is 8625501.

It can be written as a sum of positive squares in 2 ways, for example, as 10381284 + 171396 = 3222^2 + 414^2 .

It is a super-2 number, since 2×10552680² = 222718110364800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10552687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1612 + ... + 4868.

Almost surely, 2^10552680 is an apocalyptic number.

10552680 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 10552680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739810).

10552680 is an abundant number, since it is smaller than the sum of its proper divisors (24926940).

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

10552680 is a wasteful number, since it uses less digits than its factorization.

10552680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10552680 is about 3248.4888794638. The cubic root of 10552680 is about 219.3415574706.

The spelling of 10552680 in words is "ten million, five hundred fifty-two thousand, six hundred eighty".