10144960 has 84 divisors (see below), whose sum is σ = 28145232. Its totient is φ = 3472896.

The previous prime is 10144933. The next prime is 10144961. The reversal of 10144960 is 6944101.

It is not an unprimeable number, because it can be changed into a prime (10144961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15357 + ... + 16003.

Almost surely, 2^10144960 is an apocalyptic number.

10144960 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 10144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072616).

10144960 is an abundant number, since it is smaller than the sum of its proper divisors (18000272).

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

10144960 is an equidigital number, since it uses as much as digits as its factorization.

10144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10144960 is about 3185.1153825254. The cubic root of 10144960 is about 216.4795017457.

The spelling of 10144960 in words is "ten million, one hundred forty-four thousand, nine hundred sixty".