87208416 has 72 divisors (see below), whose sum is σ = 251203680. Its totient is φ = 28694016.

The previous prime is 87208411. The next prime is 87208421. The reversal of 87208416 is 61480278.

It is an interprime number because it is at equal distance from previous prime (87208411) and next prime (87208421).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87208411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20836 + ... + 24668.

It is an arithmetic number, because the mean of its divisors is an integer number (3488940).

Almost surely, 2^87208416 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 87208416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601840).

87208416 is an abundant number, since it is smaller than the sum of its proper divisors (163995264).

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

87208416 is a wasteful number, since it uses less digits than its factorization.

87208416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87208416 is about 9338.5446403602. The cubic root of 87208416 is about 443.4583118854.

The spelling of 87208416 in words is "eighty-seven million, two hundred eight thousand, four hundred sixteen".