87575376 has 80 divisors (see below), whose sum is σ = 262268928. Its totient is φ = 24662400.

The previous prime is 87575357. The next prime is 87575387. The reversal of 87575376 is 67357578.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22021 + ... + 25691.

Almost surely, 2^87575376 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 87575376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131134464).

87575376 is an abundant number, since it is smaller than the sum of its proper divisors (174693552).

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

87575376 is a wasteful number, since it uses less digits than its factorization.

87575376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3754 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 48.

The square root of 87575376 is about 9358.1716162934. The cubic root of 87575376 is about 444.0794436208.

The spelling of 87575376 in words is "eighty-seven million, five hundred seventy-five thousand, three hundred seventy-six".