10486920 has 64 divisors (see below), whose sum is σ = 31674240. Its totient is φ = 2777600.

The previous prime is 10486891. The next prime is 10486921. The reversal of 10486920 is 2968401.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10486921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33565 + ... + 33875.

It is an arithmetic number, because the mean of its divisors is an integer number (494910).

Almost surely, 2^10486920 is an apocalyptic number.

10486920 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 10486920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837120).

10486920 is an abundant number, since it is smaller than the sum of its proper divisors (21187320).

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

10486920 is a wasteful number, since it uses less digits than its factorization.

10486920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10486920 is about 3238.3514324421. The cubic root of 10486920 is about 218.8849920525.

The spelling of 10486920 in words is "ten million, four hundred eighty-six thousand, nine hundred twenty".