10287360 has 216 divisors, whose sum is σ = 38263680. Its totient is φ = 2543616.

The previous prime is 10287359. The next prime is 10287383. The reversal of 10287360 is 6378201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218857 + ... + 218903.

Almost surely, 2^10287360 is an apocalyptic number.

10287360 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 10287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

10287360 is an abundant number, since it is smaller than the sum of its proper divisors (27976320).

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

10287360 is a wasteful number, since it uses less digits than its factorization.

10287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10287360 is about 3207.3914634793. The cubic root of 10287360 is about 217.4876727060.

The spelling of 10287360 in words is "ten million, two hundred eighty-seven thousand, three hundred sixty".