10554880 has 160 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 3317760.

The previous prime is 10554871. The next prime is 10554881. The reversal of 10554880 is 8845501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10554880² = 222810983628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10554881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340465 + ... + 340495.

It is an arithmetic number, because the mean of its divisors is an integer number (196416).

Almost surely, 2^10554880 is an apocalyptic number.

10554880 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 10554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

10554880 is an abundant number, since it is smaller than the sum of its proper divisors (20871680).

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

10554880 is an equidigital number, since it uses as much as digits as its factorization.

10554880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 10554880 is about 3248.8274807998. The cubic root of 10554880 is about 219.3567990300.

The spelling of 10554880 in words is "ten million, five hundred fifty-four thousand, eight hundred eighty".