88067680 has 48 divisors (see below), whose sum is σ = 209944224. Its totient is φ = 34908160.

The previous prime is 88067677. The next prime is 88067729. The reversal of 88067680 is 8676088.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15645 + ... + 20515.

It is an arithmetic number, because the mean of its divisors is an integer number (4373838).

Almost surely, 2^88067680 is an apocalyptic number.

88067680 is a gapful number since it is divisible by the number (80) 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 88067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104972112).

88067680 is an abundant number, since it is smaller than the sum of its proper divisors (121876544).

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

88067680 is a wasteful number, since it uses less digits than its factorization.

88067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 88067680 is about 9384.4381824380. The cubic root of 88067680 is about 444.9100184180.

The spelling of 88067680 in words is "eighty-eight million, sixty-seven thousand, six hundred eighty".