10590480 has 80 divisors (see below), whose sum is σ = 36485760. Its totient is φ = 2823552.

The previous prime is 10590479. The next prime is 10590487. The reversal of 10590480 is 8409501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10590480² = 224316533260800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10590487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (456072).

Almost surely, 2^10590480 is an apocalyptic number.

10590480 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 10590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242880).

10590480 is an abundant number, since it is smaller than the sum of its proper divisors (25895280).

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

10590480 is a wasteful number, since it uses less digits than its factorization.

10590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10590480 is about 3254.3017684290. The cubic root of 10590480 is about 219.6031412851.

Adding to 10590480 its reverse (8409501), we get a palindrome (18999981).

The spelling of 10590480 in words is "ten million, five hundred ninety thousand, four hundred eighty".