87080448 has 240 divisors, whose sum is σ = 293887440. Its totient is φ = 22708224.

The previous prime is 87080447. The next prime is 87080449. The reversal of 87080448 is 84408078.

It is an interprime number because it is at equal distance from previous prime (87080447) and next prime (87080449).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87080447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978388 + ... + 978476.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 2^87080448 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 87080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146943720).

87080448 is an abundant number, since it is smaller than the sum of its proper divisors (206806992).

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

87080448 is a wasteful number, since it uses less digits than its factorization.

87080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 87080448 is about 9331.6905220866. The cubic root of 87080448 is about 443.2412982234.

It can be divided in two parts, 870 and 80448, that added together give a palindrome (81318).

The spelling of 87080448 in words is "eighty-seven million, eighty thousand, four hundred forty-eight".