87480008 has 128 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 31960320.

The previous prime is 87480007. The next prime is 87480031. The reversal of 87480008 is 80008478.

87480008 = T₂₃₂ + T₂₃₃ + ... + T₈₁₂.

It is a self number, because there is not a number n which added to its sum of digits gives 87480008.

It is not an unprimeable number, because it can be changed into a prime (87480007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053935 + ... + 1054017.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^87480008 is an apocalyptic number.

87480008 is a gapful number since it is divisible by the number (88) 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 87480008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

87480008 is an abundant number, since it is smaller than the sum of its proper divisors (130247992).

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

87480008 is a wasteful number, since it uses less digits than its factorization.

87480008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 87480008 is about 9353.0747885388. The cubic root of 87480008 is about 443.9181869115.

The spelling of 87480008 in words is "eighty-seven million, four hundred eighty thousand, eight".