87252984 has 256 divisors, whose sum is σ = 312883200. Its totient is φ = 21897216.

The previous prime is 87252973. The next prime is 87252989. The reversal of 87252984 is 48925278.

It is a super-2 number, since 2×87252984² = 15226166433808512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87252989) by changing a digit.

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, 451992 + ... + 452184.

It is an arithmetic number, because the mean of its divisors is an integer number (1222200).

Almost surely, 2^87252984 is an apocalyptic number.

87252984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87252984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156441600).

87252984 is an abundant number, since it is smaller than the sum of its proper divisors (225630216).

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

87252984 is a wasteful number, since it uses less digits than its factorization.

87252984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 87252984 is about 9340.9305746269. The cubic root of 87252984 is about 443.5338423792.

The spelling of 87252984 in words is "eighty-seven million, two hundred fifty-two thousand, nine hundred eighty-four".