10721920 has 64 divisors (see below), whose sum is σ = 27980640. Its totient is φ = 3896320.

The previous prime is 10721911. The next prime is 10721981. The reversal of 10721920 is 2912701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10721920² = 229919136972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10721891 and 10721900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6279 + ... + 7801.

Almost surely, 2^10721920 is an apocalyptic number.

10721920 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 10721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990320).

10721920 is an abundant number, since it is smaller than the sum of its proper divisors (17258720).

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

10721920 is a wasteful number, since it uses less digits than its factorization.

10721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 10721920 is about 3274.4343022880. The cubic root of 10721920 is about 220.5079173701.

It can be divided in two parts, 1072 and 1920, that added together give a palindrome (2992).

The spelling of 10721920 in words is "ten million, seven hundred twenty-one thousand, nine hundred twenty".