10263120 has 160 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2273280.

The previous prime is 10263107. The next prime is 10263131. The reversal of 10263120 is 2136201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10263120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68806 + ... + 68954.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^10263120 is an apocalyptic number.

10263120 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 10263120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

10263120 is an abundant number, since it is smaller than the sum of its proper divisors (27234480).

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

10263120 is a wasteful number, since it uses less digits than its factorization.

10263120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10263120 is about 3203.6104632118. The cubic root of 10263120 is about 217.3167170438.

Adding to 10263120 its reverse (2136201), we get a palindrome (12399321).

The spelling of 10263120 in words is "ten million, two hundred sixty-three thousand, one hundred twenty".