10242960 has 240 divisors, whose sum is σ = 40372416. Its totient is φ = 2128896.

The previous prime is 10242943. The next prime is 10242961. The reversal of 10242960 is 6924201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10242960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152847 + ... + 152913.

Almost surely, 2^10242960 is an apocalyptic number.

10242960 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 10242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20186208).

10242960 is an abundant number, since it is smaller than the sum of its proper divisors (30129456).

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

10242960 is a wasteful number, since it uses less digits than its factorization.

10242960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

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

The square root of 10242960 is about 3200.4624665820. The cubic root of 10242960 is about 217.1743309476.

The spelling of 10242960 in words is "ten million, two hundred forty-two thousand, nine hundred sixty".