87378016 has 48 divisors (see below), whose sum is σ = 192764880. Its totient is φ = 38638080.

The previous prime is 87378013. The next prime is 87378037. The reversal of 87378016 is 61087378.

It is a self number, because there is not a number n which added to its sum of digits gives 87378016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87378013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9670 + ... + 16378.

It is an arithmetic number, because the mean of its divisors is an integer number (4015935).

Almost surely, 2^87378016 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 87378016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96382440).

87378016 is an abundant number, since it is smaller than the sum of its proper divisors (105386864).

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

87378016 is a wasteful number, since it uses less digits than its factorization.

87378016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 87378016 is about 9347.6208737839. The cubic root of 87378016 is about 443.7456000093.

The spelling of 87378016 in words is "eighty-seven million, three hundred seventy-eight thousand, sixteen".