87597552 has 80 divisors (see below), whose sum is σ = 263554560. Its totient is φ = 24550656.

The previous prime is 87597551. The next prime is 87597557. The reversal of 87597552 is 25579578.

It is a super-2 number, since 2×87597552² = 15346662232785408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87597551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15349 + ... + 20267.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^87597552 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 87597552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777280).

87597552 is an abundant number, since it is smaller than the sum of its proper divisors (175957008).

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

87597552 is a wasteful number, since it uses less digits than its factorization.

87597552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4984 counting only the distinct ones).

The product of its digits is 882000, while the sum is 48.

The square root of 87597552 is about 9359.3563881284. The cubic root of 87597552 is about 444.1169239989.

The spelling of 87597552 in words is "eighty-seven million, five hundred ninety-seven thousand, five hundred fifty-two".