10272960 has 224 divisors, whose sum is σ = 38404800. Its totient is φ = 2580480.

The previous prime is 10272953. The next prime is 10272961. The reversal of 10272960 is 6927201.

10272960 = T₄₅₉ + T₄₆₀ + ... + T₅₄₀.

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 (10272961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250540 + ... + 250580.

It is an arithmetic number, because the mean of its divisors is an integer number (171450).

Almost surely, 2^10272960 is an apocalyptic number.

10272960 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 10272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202400).

10272960 is an abundant number, since it is smaller than the sum of its proper divisors (28131840).

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

10272960 is a wasteful number, since it uses less digits than its factorization.

10272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10272960 is about 3205.1458625155. The cubic root of 10272960 is about 217.3861473095.

The spelling of 10272960 in words is "ten million, two hundred seventy-two thousand, nine hundred sixty".