87275144 has 64 divisors (see below), whose sum is σ = 190589760. Its totient is φ = 37027840.

The previous prime is 87275143. The next prime is 87275191. The reversal of 87275144 is 44157278.

It is a junction number, because it is equal to n+sod(n) for n = 87275098 and 87275107.

It is not an unprimeable number, because it can be changed into a prime (87275141) 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 15 ways as a sum of consecutive naturals, for example, 339464 + ... + 339720.

It is an arithmetic number, because the mean of its divisors is an integer number (2977965).

Almost surely, 2^87275144 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 87275144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95294880).

87275144 is an abundant number, since it is smaller than the sum of its proper divisors (103314616).

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

87275144 is a wasteful number, since it uses less digits than its factorization.

87275144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its digits is 62720, while the sum is 38.

The square root of 87275144 is about 9342.1166766424. The cubic root of 87275144 is about 443.5713879069.

The spelling of 87275144 in words is "eighty-seven million, two hundred seventy-five thousand, one hundred forty-four".