87699456 has 208 divisors, whose sum is σ = 284391520. Its totient is φ = 26542080.

The previous prime is 87699431. The next prime is 87699457. The reversal of 87699456 is 65499678.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 87699456 = 136³ + 440³ = 192³ + 432³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87699457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437666 + ... + 1437726.

Almost surely, 2^87699456 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 87699456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142195760).

87699456 is an abundant number, since it is smaller than the sum of its proper divisors (196692064).

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

87699456 is a wasteful number, since it uses less digits than its factorization.

87699456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 87699456 is about 9364.7987698615. The cubic root of 87699456 is about 444.2890739877.

It can be divided in two parts, 8769 and 9456, that added together give a square (18225 = 135²).

The spelling of 87699456 in words is "eighty-seven million, six hundred ninety-nine thousand, four hundred fifty-six".