10489920 has 168 divisors, whose sum is σ = 38916864. Its totient is φ = 2386944.

The previous prime is 10489889. The next prime is 10489933. The reversal of 10489920 is 2998401.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10489920² = 220076843212800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46929 + ... + 47151.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 2^10489920 is an apocalyptic number.

10489920 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 10489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

10489920 is an abundant number, since it is smaller than the sum of its proper divisors (28426944).

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

10489920 is a wasteful number, since it uses less digits than its factorization.

10489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 10489920 is about 3238.8145979664. The cubic root of 10489920 is about 218.9058622531.

The spelling of 10489920 in words is "ten million, four hundred eighty-nine thousand, nine hundred twenty".