10748640 has 144 divisors (see below), whose sum is σ = 39472272. Its totient is φ = 2451456.

The previous prime is 10748629. The next prime is 10748651. The reversal of 10748640 is 4684701.

It is an interprime number because it is at equal distance from previous prime (10748629) and next prime (10748651).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10748598 and 10748607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23292 + ... + 23748.

It is an arithmetic number, because the mean of its divisors is an integer number (274113).

Almost surely, 2^10748640 is an apocalyptic number.

10748640 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 10748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736136).

10748640 is an abundant number, since it is smaller than the sum of its proper divisors (28723632).

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

10748640 is a wasteful number, since it uses less digits than its factorization.

10748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10748640 is about 3278.5118575354. The cubic root of 10748640 is about 220.6909406804.

The spelling of 10748640 in words is "ten million, seven hundred forty-eight thousand, six hundred forty".