87617600 has 84 divisors (see below), whose sum is σ = 246424704. Its totient is φ = 30036480.

The previous prime is 87617597. The next prime is 87617611. The reversal of 87617600 is 671678.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7289 + ... + 15111.

Almost surely, 2^87617600 is an apocalyptic number.

87617600 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 87617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123212352).

87617600 is an abundant number, since it is smaller than the sum of its proper divisors (158807104).

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

87617600 is a wasteful number, since it uses less digits than its factorization.

87617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 87617600 is about 9360.4273406720. The cubic root of 87617600 is about 444.1508023312.

It can be divided in two parts, 8761 and 7600, that added together give a palindrome (16361).

The spelling of 87617600 in words is "eighty-seven million, six hundred seventeen thousand, six hundred".