87471936 has 84 divisors (see below), whose sum is σ = 265500612. Its totient is φ = 27439104.

The previous prime is 87471931. The next prime is 87471941. The reversal of 87471936 is 63917478.

It is an interprime number because it is at equal distance from previous prime (87471931) and next prime (87471941).

It can be written as a sum of positive squares in 2 ways, for example, as 45481536 + 41990400 = 6744^2 + 6480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 87471891 and 87471900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87471931) 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 11 ways as a sum of consecutive naturals, for example, 5326 + ... + 14258.

Almost surely, 2^87471936 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 87471936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132750306).

87471936 is an abundant number, since it is smaller than the sum of its proper divisors (178028676).

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

87471936 is a wasteful number, since it uses less digits than its factorization.

87471936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8968 (or 8955 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 87471936 is about 9352.6432627359. The cubic root of 87471936 is about 443.9045326763.

The spelling of 87471936 in words is "eighty-seven million, four hundred seventy-one thousand, nine hundred thirty-six".