10627880 has 64 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 4015872.

The previous prime is 10627871. The next prime is 10627951. The reversal of 10627880 is 8872601.

It is a super-2 number, since 2×10627880² = 225903666588800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63557 + ... + 63723.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^10627880 is an apocalyptic number.

10627880 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 10627880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

10627880 is an abundant number, since it is smaller than the sum of its proper divisors (14652760).

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

10627880 is a wasteful number, since it uses less digits than its factorization.

10627880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 10627880 is about 3260.0429445024. The cubic root of 10627880 is about 219.8613451381.

The spelling of 10627880 in words is "ten million, six hundred twenty-seven thousand, eight hundred eighty".