80642688 has 128 divisors (see below), whose sum is σ = 257856000. Its totient is φ = 21814272.

The previous prime is 80642659. The next prime is 80642689. The reversal of 80642688 is 88624608.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80642689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50283 + ... + 51861.

It is an arithmetic number, because the mean of its divisors is an integer number (2014500).

Almost surely, 2^80642688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128928000).

80642688 is an abundant number, since it is smaller than the sum of its proper divisors (177213312).

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

80642688 is a wasteful number, since it uses less digits than its factorization.

80642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 80642688 is about 8980.1273933057. The cubic root of 80642688 is about 432.0377196145.

The spelling of 80642688 in words is "eighty million, six hundred forty-two thousand, six hundred eighty-eight".