87485790 has 128 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 18741888.

The previous prime is 87485777. The next prime is 87485809. The reversal of 87485790 is 9758478.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284817 + ... + 285123.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^87485790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87485790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

87485790 is an abundant number, since it is smaller than the sum of its proper divisors (167981730).

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

87485790 is a wasteful number, since it uses less digits than its factorization.

87485790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 87485790 is about 9353.3838796448. The cubic root of 87485790 is about 443.9279669686.

The spelling of 87485790 in words is "eighty-seven million, four hundred eighty-five thousand, seven hundred ninety".