87284904 has 32 divisors (see below), whose sum is σ = 249385920. Its totient is φ = 24938496.

The previous prime is 87284893. The next prime is 87284909. The reversal of 87284904 is 40948278.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (87284909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259609 + ... + 259944.

It is an arithmetic number, because the mean of its divisors is an integer number (7793310).

Almost surely, 2^87284904 is an apocalyptic number.

87284904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87284904 is an abundant number, since it is smaller than the sum of its proper divisors (162101016).

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

87284904 is a wasteful number, since it uses less digits than its factorization.

87284904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519569 (or 519565 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87284904 is about 9342.6390275981. The cubic root of 87284904 is about 443.5879221883.

It can be divided in two parts, 87284 and 904, that added together give a palindrome (88188).

The spelling of 87284904 in words is "eighty-seven million, two hundred eighty-four thousand, nine hundred four".