10526880 has 192 divisors, whose sum is σ = 40981248. Its totient is φ = 2211840.

The previous prime is 10526863. The next prime is 10526881. The reversal of 10526880 is 8862501.

It is a super-2 number, since 2×10526880² = 221630405068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

10526880 is an undulating number in base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10526881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43560 + ... + 43800.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 2^10526880 is an apocalyptic number.

10526880 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 10526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

10526880 is an abundant number, since it is smaller than the sum of its proper divisors (30454368).

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

10526880 is a wasteful number, since it uses less digits than its factorization.

10526880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 10526880 is about 3244.5153721319. The cubic root of 10526880 is about 219.1626572507.

It can be divided in two parts, 105 and 26880, that multiplied together give a square (2822400 = 1680²).

The spelling of 10526880 in words is "ten million, five hundred twenty-six thousand, eight hundred eighty".