87496416 has 384 divisors, whose sum is σ = 330946560. Its totient is φ = 21897216.

The previous prime is 87496411. The next prime is 87496427. The reversal of 87496416 is 61469478.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87496411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2364750 + ... + 2364786.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^87496416 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 87496416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

87496416 is an abundant number, since it is smaller than the sum of its proper divisors (243450144).

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

87496416 is a wasteful number, since it uses less digits than its factorization.

87496416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 87496416 is about 9353.9518921149. The cubic root of 87496416 is about 443.9459393639.

The spelling of 87496416 in words is "eighty-seven million, four hundred ninety-six thousand, four hundred sixteen".