87533600 has 288 divisors, whose sum is σ = 281232000. Its totient is φ = 26342400.

The previous prime is 87533587. The next prime is 87533617. The reversal of 87533600 is 633578.

It is a happy number.

It is a super-2 number, since 2×87533600² = 15324262257920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3018386 + ... + 3018414.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^87533600 is an apocalyptic number.

87533600 is a gapful number since it is divisible by the number (80) 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 87533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

87533600 is an abundant number, since it is smaller than the sum of its proper divisors (193698400).

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

87533600 is a wasteful number, since it uses less digits than its factorization.

87533600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 87533600 is about 9355.9392900980. The cubic root of 87533600 is about 444.0088194553.

The spelling of 87533600 in words is "eighty-seven million, five hundred thirty-three thousand, six hundred".