10488672 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3444480.

The previous prime is 10488671. The next prime is 10488679. The reversal of 10488672 is 27688401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10488672² = 220024480647168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10488671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22522 + ... + 22982.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^10488672 is an apocalyptic number.

10488672 is a gapful number since it is divisible by the number (12) 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 10488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10488672 is an abundant number, since it is smaller than the sum of its proper divisors (19781568).

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

10488672 is a wasteful number, since it uses less digits than its factorization.

10488672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10488672 is about 3238.6219291544. The cubic root of 10488672 is about 218.8971807330.

The spelling of 10488672 in words is "ten million, four hundred eighty-eight thousand, six hundred seventy-two".