87463840 has 48 divisors (see below), whose sum is σ = 217516320. Its totient is φ = 33143040.

The previous prime is 87463829. The next prime is 87463841. The reversal of 87463840 is 4836478.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 87463793 and 87463802.

It is not an unprimeable number, because it can be changed into a prime (87463841) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11346 + ... + 17425.

It is an arithmetic number, because the mean of its divisors is an integer number (4531590).

Almost surely, 2^87463840 is an apocalyptic number.

87463840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87463840 is an abundant number, since it is smaller than the sum of its proper divisors (130052480).

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

87463840 is a wasteful number, since it uses less digits than its factorization.

87463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28805 (or 28797 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 87463840 is about 9352.2104339028. The cubic root of 87463840 is about 443.8908369999.

The spelling of 87463840 in words is "eighty-seven million, four hundred sixty-three thousand, eight hundred forty".