87389280 has 240 divisors, whose sum is σ = 336997584. Its totient is φ = 21150720.

The previous prime is 87389273. The next prime is 87389293. The reversal of 87389280 is 8298378.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142254 + ... + 142866.

Almost surely, 2^87389280 is an apocalyptic number.

87389280 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 87389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168498792).

87389280 is an abundant number, since it is smaller than the sum of its proper divisors (249608304).

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

87389280 is a wasteful number, since it uses less digits than its factorization.

87389280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 87389280 is about 9348.2233606178. The cubic root of 87389280 is about 443.7646671076.

The spelling of 87389280 in words is "eighty-seven million, three hundred eighty-nine thousand, two hundred eighty".