10956480 has 112 divisors (see below), whose sum is σ = 35442144. Its totient is φ = 2867200.

The previous prime is 10956469. The next prime is 10956493. The reversal of 10956480 is 8465901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96904 + ... + 97016.

Almost surely, 2^10956480 is an apocalyptic number.

10956480 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 10956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721072).

10956480 is an abundant number, since it is smaller than the sum of its proper divisors (24485664).

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

10956480 is a wasteful number, since it uses less digits than its factorization.

10956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10956480 is about 3310.0574013150. The cubic root of 10956480 is about 222.1043256110.

The spelling of 10956480 in words is "ten million, nine hundred fifty-six thousand, four hundred eighty".