10090464 has 48 divisors (see below), whose sum is σ = 26807760. Its totient is φ = 3322880.

The previous prime is 10090453. The next prime is 10090471. The reversal of 10090464 is 46409001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 7954 + ... + 9134.

It is an arithmetic number, because the mean of its divisors is an integer number (558495).

Almost surely, 2^10090464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10090464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403880).

10090464 is an abundant number, since it is smaller than the sum of its proper divisors (16717296).

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

10090464 is a wasteful number, since it uses less digits than its factorization.

10090464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10090464 is about 3176.5490709259. The cubic root of 10090464 is about 216.0911823533.

Adding to 10090464 its reverse (46409001), we get a palindrome (56499465).

The spelling of 10090464 in words is "ten million, ninety thousand, four hundred sixty-four".