10523720 has 64 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 3905280.

The previous prime is 10523713. The next prime is 10523729. The reversal of 10523720 is 2732501.

10523720 = T₉₅ + T₉₆ + ... + T₃₉₉.

It is a super-2 number, since 2×10523720² = 221497365276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10523692 and 10523701.

It is not an unprimeable number, because it can be changed into a prime (10523729) 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 15 ways as a sum of consecutive naturals, for example, 46247 + ... + 46473.

It is an arithmetic number, because the mean of its divisors is an integer number (397575).

Almost surely, 2^10523720 is an apocalyptic number.

10523720 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 10523720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

10523720 is an abundant number, since it is smaller than the sum of its proper divisors (14921080).

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

10523720 is a wasteful number, since it uses less digits than its factorization.

10523720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 10523720 is about 3244.0283599254. The cubic root of 10523720 is about 219.1407253548.

The spelling of 10523720 in words is "ten million, five hundred twenty-three thousand, seven hundred twenty".