87468672 has 64 divisors (see below), whose sum is σ = 246024000. Its totient is φ = 27439104.

The previous prime is 87468671. The next prime is 87468679. The reversal of 87468672 is 27686478.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (87468671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 13227.

It is an arithmetic number, because the mean of its divisors is an integer number (3844125).

Almost surely, 2^87468672 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 87468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123012000).

87468672 is an abundant number, since it is smaller than the sum of its proper divisors (158555328).

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

87468672 is a wasteful number, since it uses less digits than its factorization.

87468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13433 (or 13421 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 87468672 is about 9352.4687649839. The cubic root of 87468672 is about 443.8990112009.

The spelling of 87468672 in words is "eighty-seven million, four hundred sixty-eight thousand, six hundred seventy-two".