87492636 has 216 divisors, whose sum is σ = 292795776. Its totient is φ = 22589280.

The previous prime is 87492631. The next prime is 87492653. The reversal of 87492636 is 63629478.

87492636 is a `hidden beast` number, since 8 + 7 + 4 + 9 + 2 + 636 = 666.

It is a super-2 number, since 2×87492636² = 15309922708456992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87492591 and 87492600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87492631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 523825 + ... + 523991.

It is an arithmetic number, because the mean of its divisors is an integer number (1355536).

Almost surely, 2^87492636 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 87492636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

87492636 is an abundant number, since it is smaller than the sum of its proper divisors (205303140).

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

87492636 is a wasteful number, since it uses less digits than its factorization.

87492636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 87492636 is about 9353.7498362956. The cubic root of 87492636 is about 443.9395461884.

The spelling of 87492636 in words is "eighty-seven million, four hundred ninety-two thousand, six hundred thirty-six".