10678080 has 168 divisors, whose sum is σ = 39611808. Its totient is φ = 2429952.

The previous prime is 10678037. The next prime is 10678099. The reversal of 10678080 is 8087601.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10678080² = 228042784972800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46927 + ... + 47153.

Almost surely, 2^10678080 is an apocalyptic number.

10678080 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 10678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805904).

10678080 is an abundant number, since it is smaller than the sum of its proper divisors (28933728).

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

10678080 is a wasteful number, since it uses less digits than its factorization.

10678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10678080 is about 3267.7331592405. The cubic root of 10678080 is about 220.2069677658.

The spelling of 10678080 in words is "ten million, six hundred seventy-eight thousand, eighty".