87696000 has 512 divisors, whose sum is σ = 381888000. Its totient is φ = 19353600.

The previous prime is 87695999. The next prime is 87696017. The reversal of 87696000 is 69678.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023986 + ... + 3024014.

It is an arithmetic number, because the mean of its divisors is an integer number (745875).

Almost surely, 2^87696000 is an apocalyptic number.

87696000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

87696000 is an abundant number, since it is smaller than the sum of its proper divisors (294192000).

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

87696000 is a wasteful number, since it uses less digits than its factorization.

87696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 87696000 is about 9364.6142472608. The cubic root of 87696000 is about 444.2832378313.

The spelling of 87696000 in words is "eighty-seven million, six hundred ninety-six thousand".