10027864 has 64 divisors (see below), whose sum is σ = 23869440. Its totient is φ = 3836160.

The previous prime is 10027837. The next prime is 10027867. The reversal of 10027864 is 46872001.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44857 + ... + 45079.

It is an arithmetic number, because the mean of its divisors is an integer number (372960).

Almost surely, 2^10027864 is an apocalyptic number.

10027864 is a gapful number since it is divisible by the number (14) 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 10027864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934720).

10027864 is an abundant number, since it is smaller than the sum of its proper divisors (13841576).

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

10027864 is a wasteful number, since it uses less digits than its factorization.

10027864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10027864 is about 3166.6802806725. The cubic root of 10027864 is about 215.6433873279.

Adding to 10027864 its reverse (46872001), we get a palindrome (56899865).

The spelling of 10027864 in words is "ten million, twenty-seven thousand, eight hundred sixty-four".