10748160 has 144 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 2856960.

The previous prime is 10748159. The next prime is 10748161. The reversal of 10748160 is 6184701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10748159) and next prime (10748161).

It is a tau number, because it is divible by the number of its divisors (144).

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 (10748161) 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, 34405 + ... + 34715.

It is an arithmetic number, because the mean of its divisors is an integer number (265720).

Almost surely, 2^10748160 is an apocalyptic number.

10748160 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 10748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

10748160 is an abundant number, since it is smaller than the sum of its proper divisors (27515520).

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

10748160 is an equidigital number, since it uses as much as digits as its factorization.

10748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10748160 is about 3278.4386527736. The cubic root of 10748160 is about 220.6876555135.

The spelling of 10748160 in words is "ten million, seven hundred forty-eight thousand, one hundred sixty".