87852492 has 144 divisors (see below), whose sum is σ = 285556320. Its totient is φ = 23151744.

The previous prime is 87852491. The next prime is 87852497. The reversal of 87852492 is 29425878.

87852492 is a `hidden beast` number, since 87 + 85 + 2 + 492 = 666.

It is a super-2 number, since 2×87852492² = 15436120701220128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87852491) 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 47 ways as a sum of consecutive naturals, for example, 68158 + ... + 69434.

It is an arithmetic number, because the mean of its divisors is an integer number (1983030).

Almost surely, 2^87852492 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 87852492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142778160).

87852492 is an abundant number, since it is smaller than the sum of its proper divisors (197703828).

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

87852492 is a wasteful number, since it uses less digits than its factorization.

87852492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1302 counting only the distinct ones).

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

The square root of 87852492 is about 9372.9660193559. The cubic root of 87852492 is about 444.5473527167.

The spelling of 87852492 in words is "eighty-seven million, eight hundred fifty-two thousand, four hundred ninety-two".