87289680 has 80 divisors (see below), whose sum is σ = 271571904. Its totient is φ = 23193600.

The previous prime is 87289673. The next prime is 87289703. The reversal of 87289680 is 8698278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 95787 + ... + 96693.

Almost surely, 2^87289680 is an apocalyptic number.

87289680 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 87289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135785952).

87289680 is an abundant number, since it is smaller than the sum of its proper divisors (184282224).

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

87289680 is a wasteful number, since it uses less digits than its factorization.

87289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 87289680 is about 9342.8946263993. The cubic root of 87289680 is about 443.5960126949.

The spelling of 87289680 in words is "eighty-seven million, two hundred eighty-nine thousand, six hundred eighty".