10485720 has 256 divisors, whose sum is σ = 42624000. Its totient is φ = 2239488.

The previous prime is 10485707. The next prime is 10485721. The reversal of 10485720 is 2758401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143604 + ... + 143676.

It is an arithmetic number, because the mean of its divisors is an integer number (166500).

Almost surely, 2^10485720 is an apocalyptic number.

10485720 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 10485720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312000).

10485720 is an abundant number, since it is smaller than the sum of its proper divisors (32138280).

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

10485720 is a wasteful number, since it uses less digits than its factorization.

10485720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10485720 is about 3238.1661476830. The cubic root of 10485720 is about 218.8766428579.

The spelling of 10485720 in words is "ten million, four hundred eighty-five thousand, seven hundred twenty".