10678752 has 72 divisors (see below), whose sum is σ = 34712496. Its totient is φ = 3050496.

The previous prime is 10678751. The next prime is 10678763. The reversal of 10678752 is 25787601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10678752² = 228071488555008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10678751) 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 11 ways as a sum of consecutive naturals, for example, 633 + ... + 4664.

It is an arithmetic number, because the mean of its divisors is an integer number (482118).

Almost surely, 2^10678752 is an apocalyptic number.

10678752 is a gapful number since it is divisible by the number (12) 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 10678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356248).

10678752 is an abundant number, since it is smaller than the sum of its proper divisors (24033744).

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

10678752 is a wasteful number, since it uses less digits than its factorization.

10678752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 10678752 is about 3267.8359811961. The cubic root of 10678752 is about 220.2115870725.

The spelling of 10678752 in words is "ten million, six hundred seventy-eight thousand, seven hundred fifty-two".