87006480 has 80 divisors (see below), whose sum is σ = 294249024. Its totient is φ = 21091840.

The previous prime is 87006473. The next prime is 87006503. The reversal of 87006480 is 8460078.

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 (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13839 + ... + 19118.

Almost surely, 2^87006480 is an apocalyptic number.

87006480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87006480 is an abundant number, since it is smaller than the sum of its proper divisors (207242544).

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

87006480 is a wasteful number, since it uses less digits than its factorization.

87006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32984 (or 32978 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87006480 is about 9327.7264110822. The cubic root of 87006480 is about 443.1157631179.

The spelling of 87006480 in words is "eighty-seven million, six thousand, four hundred eighty".