87755616 has 144 divisors (see below), whose sum is σ = 277618320. Its totient is φ = 26956800.

The previous prime is 87755611. The next prime is 87755639. The reversal of 87755616 is 61655778.

87755616 is a `hidden beast` number, since 87 + 7 + 5 + 561 + 6 = 666.

87755616 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87755611) 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, 145716 + ... + 146316.

It is an arithmetic number, because the mean of its divisors is an integer number (1927905).

Almost surely, 2^87755616 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 87755616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138809160).

87755616 is an abundant number, since it is smaller than the sum of its proper divisors (189862704).

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

87755616 is a wasteful number, since it uses less digits than its factorization.

87755616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 619 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 87755616 is about 9367.7967527055. The cubic root of 87755616 is about 444.3838900463.

It can be divided in two parts, 8775 and 5616, that multiplied together give a square (49280400 = 7020²).

The spelling of 87755616 in words is "eighty-seven million, seven hundred fifty-five thousand, six hundred sixteen".