87896000 has 56 divisors (see below), whose sum is σ = 217694256. Its totient is φ = 35155200.

The previous prime is 87895991. The next prime is 87896009. The reversal of 87896000 is 69878.

It is an interprime number because it is at equal distance from previous prime (87895991) and next prime (87896009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87896009) 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, 2507 + ... + 13493.

Almost surely, 2^87896000 is an apocalyptic number.

87896000 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 87896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108847128).

87896000 is an abundant number, since it is smaller than the sum of its proper divisors (129798256).

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

87896000 is a wasteful number, since it uses less digits than its factorization.

87896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 10994 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 87896000 is about 9375.2866622840. The cubic root of 87896000 is about 444.6207263676.

The spelling of 87896000 in words is "eighty-seven million, eight hundred ninety-six thousand".