87436100 has 72 divisors (see below), whose sum is σ = 211548960. Its totient is φ = 31173120.

The previous prime is 87436057. The next prime is 87436109. The reversal of 87436100 is 163478.

It is not an unprimeable number, because it can be changed into a prime (87436109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30947 + ... + 33653.

It is an arithmetic number, because the mean of its divisors is an integer number (2938180).

Almost surely, 2^87436100 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 87436100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105774480).

87436100 is an abundant number, since it is smaller than the sum of its proper divisors (124112860).

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

87436100 is a wasteful number, since it uses less digits than its factorization.

87436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 87436100 is about 9350.7272444447. The cubic root of 87436100 is about 443.8439039518.

Adding to 87436100 its reverse (163478), we get a palindrome (87599578).

The spelling of 87436100 in words is "eighty-seven million, four hundred thirty-six thousand, one hundred".