87420672 has 108 divisors (see below), whose sum is σ = 265454280. Its totient is φ = 27592704.

The previous prime is 87420629. The next prime is 87420673. The reversal of 87420672 is 27602478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87420673) 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 11 ways as a sum of consecutive naturals, for example, 42778 + ... + 44774.

It is an arithmetic number, because the mean of its divisors is an integer number (2457910).

Almost surely, 2^87420672 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 87420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132727140).

87420672 is an abundant number, since it is smaller than the sum of its proper divisors (178033608).

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

87420672 is a wasteful number, since it uses less digits than its factorization.

87420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87420672 is about 9349.9022454783. The cubic root of 87420672 is about 443.8177971662.

The spelling of 87420672 in words is "eighty-seven million, four hundred twenty thousand, six hundred seventy-two".