87096640 has 56 divisors (see below), whose sum is σ = 211848192. Its totient is φ = 34091520.

The previous prime is 87096637. The next prime is 87096641. The reversal of 87096640 is 4669078.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 87096593 and 87096602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87096641) 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, 12145 + ... + 17935.

Almost surely, 2^87096640 is an apocalyptic number.

87096640 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 87096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105924096).

87096640 is an abundant number, since it is smaller than the sum of its proper divisors (124751552).

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

87096640 is a wasteful number, since it uses less digits than its factorization.

87096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 87096640 is about 9332.5580630393. The cubic root of 87096640 is about 443.2687690602.

The spelling of 87096640 in words is "eighty-seven million, ninety-six thousand, six hundred forty".