87919480 has 64 divisors (see below), whose sum is σ = 217054080. Its totient is φ = 31785600.

The previous prime is 87919399. The next prime is 87919487. The reversal of 87919480 is 8491978.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87919480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87919487) 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, 92367 + ... + 93313.

It is an arithmetic number, because the mean of its divisors is an integer number (3391470).

Almost surely, 2^87919480 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 87919480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108527040).

87919480 is an abundant number, since it is smaller than the sum of its proper divisors (129134600).

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

87919480 is a wasteful number, since it uses less digits than its factorization.

87919480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 87919480 is about 9376.5388070439. The cubic root of 87919480 is about 444.6603139301.

The spelling of 87919480 in words is "eighty-seven million, nine hundred nineteen thousand, four hundred eighty".