87429216 has 96 divisors (see below), whose sum is σ = 263789568. Its totient is φ = 24837120.

The previous prime is 87429211. The next prime is 87429217. The reversal of 87429216 is 61292478.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (48384) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87429211) 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, 188601 + ... + 189063.

It is an arithmetic number, because the mean of its divisors is an integer number (2747808).

Almost surely, 2^87429216 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 87429216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131894784).

87429216 is an abundant number, since it is smaller than the sum of its proper divisors (176360352).

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

87429216 is a wasteful number, since it uses less digits than its factorization.

87429216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 87429216 is about 9350.3591374877. The cubic root of 87429216 is about 443.8322554389.

The spelling of 87429216 in words is "eighty-seven million, four hundred twenty-nine thousand, two hundred sixteen".