87727536 has 200 divisors, whose sum is σ = 282315264. Its totient is φ = 26127360.

The previous prime is 87727517. The next prime is 87727537. The reversal of 87727536 is 63572778.

It is a super-2 number, since 2×87727536² = 15392241145262592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87727491 and 87727500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87727537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 690705 + ... + 690831.

Almost surely, 2^87727536 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 87727536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141157632).

87727536 is an abundant number, since it is smaller than the sum of its proper divisors (194587728).

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

87727536 is a wasteful number, since it uses less digits than its factorization.

87727536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 87727536 is about 9366.2978812335. The cubic root of 87727536 is about 444.3364870751.

The spelling of 87727536 in words is "eighty-seven million, seven hundred twenty-seven thousand, five hundred thirty-six".