10270368 has 48 divisors (see below), whose sum is σ = 29957760. Its totient is φ = 3423168.

The previous prime is 10270361. The next prime is 10270391. The reversal of 10270368 is 86307201.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (10270361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5080 + ... + 6807.

It is an arithmetic number, because the mean of its divisors is an integer number (624120).

Almost surely, 2^10270368 is an apocalyptic number.

10270368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10270368 is an abundant number, since it is smaller than the sum of its proper divisors (19687392).

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

10270368 is a wasteful number, since it uses less digits than its factorization.

10270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11906 (or 11892 counting only the distinct ones).

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

The square root of 10270368 is about 3204.7414872342. The cubic root of 10270368 is about 217.3678626642.

Adding to 10270368 its reverse (86307201), we get a palindrome (96577569).

The spelling of 10270368 in words is "ten million, two hundred seventy thousand, three hundred sixty-eight".