87288390 has 96 divisors (see below), whose sum is σ = 260769600. Its totient is φ = 19844352.

The previous prime is 87288373. The next prime is 87288391. The reversal of 87288390 is 9388278.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87288391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219672 + ... + 220068.

It is an arithmetic number, because the mean of its divisors is an integer number (2716350).

Almost surely, 2^87288390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87288390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130384800).

87288390 is an abundant number, since it is smaller than the sum of its proper divisors (173481210).

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

87288390 is a wasteful number, since it uses less digits than its factorization.

87288390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 87288390 is about 9342.8255897239. The cubic root of 87288390 is about 443.5938274741.

It can be divided in two parts, 87288 and 390, that added together give a palindrome (87678).

The spelling of 87288390 in words is "eighty-seven million, two hundred eighty-eight thousand, three hundred ninety".