10027440 has 120 divisors (see below), whose sum is σ = 35496240. Its totient is φ = 2529792.

The previous prime is 10027439. The next prime is 10027447. The reversal of 10027440 is 4472001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10027447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13314 + ... + 14046.

It is an arithmetic number, because the mean of its divisors is an integer number (295802).

Almost surely, 2^10027440 is an apocalyptic number.

10027440 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 10027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748120).

10027440 is an abundant number, since it is smaller than the sum of its proper divisors (25468800).

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

10027440 is a wasteful number, since it uses less digits than its factorization.

10027440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10027440 is about 3166.6133328842. The cubic root of 10027440 is about 215.6403479938.

Adding to 10027440 its reverse (4472001), we get a palindrome (14499441).

It can be divided in two parts, 100 and 27440, that multiplied together give a cube (2744000 = 140³).

The spelling of 10027440 in words is "ten million, twenty-seven thousand, four hundred forty".