87758352 has 120 divisors (see below), whose sum is σ = 283776480. Its totient is φ = 25021440.

The previous prime is 87758347. The next prime is 87758357. The reversal of 87758352 is 25385778.

It is an interprime number because it is at equal distance from previous prime (87758347) and next prime (87758357).

It is a junction number, because it is equal to n+sod(n) for n = 87758298 and 87758307.

It is not an unprimeable number, because it can be changed into a prime (87758357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25299 + ... + 28557.

It is an arithmetic number, because the mean of its divisors is an integer number (2364804).

Almost surely, 2^87758352 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 87758352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141888240).

87758352 is an abundant number, since it is smaller than the sum of its proper divisors (196018128).

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

87758352 is a wasteful number, since it uses less digits than its factorization.

87758352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3292 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 87758352 is about 9367.9427837706. The cubic root of 87758352 is about 444.3885082567.

The spelling of 87758352 in words is "eighty-seven million, seven hundred fifty-eight thousand, three hundred fifty-two".