10067680 has 96 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 3379200.

The previous prime is 10067657. The next prime is 10067699. The reversal of 10067680 is 8676001.

10067680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99630 + ... + 99730.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 2^10067680 is an apocalyptic number.

10067680 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 10067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

10067680 is an abundant number, since it is smaller than the sum of its proper divisors (17692640).

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

10067680 is a wasteful number, since it uses less digits than its factorization.

10067680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 10067680 is about 3172.9607624425. The cubic root of 10067680 is about 215.9284170663.

The spelling of 10067680 in words is "ten million, sixty-seven thousand, six hundred eighty".