87869376 has 336 divisors, whose sum is σ = 321218560. Its totient is φ = 22394880.

The previous prime is 87869371. The next prime is 87869381. The reversal of 87869376 is 67396878.

It is an interprime number because it is at equal distance from previous prime (87869371) and next prime (87869381).

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (3048192) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87869371) 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 47 ways as a sum of consecutive naturals, for example, 2374830 + ... + 2374866.

Almost surely, 2^87869376 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 87869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160609280).

87869376 is an abundant number, since it is smaller than the sum of its proper divisors (233349184).

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

87869376 is a wasteful number, since it uses less digits than its factorization.

87869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 87869376 is about 9373.8666514945. The cubic root of 87869376 is about 444.5758294529.

The spelling of 87869376 in words is "eighty-seven million, eight hundred sixty-nine thousand, three hundred seventy-six".