87511424 has 128 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 31426560.

The previous prime is 87511399. The next prime is 87511429. The reversal of 87511424 is 42411578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87511429) 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 15 ways as a sum of consecutive naturals, for example, 127787 + ... + 128469.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^87511424 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 87511424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

87511424 is an abundant number, since it is smaller than the sum of its proper divisors (146909056).

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

87511424 is a wasteful number, since it uses less digits than its factorization.

87511424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 87511424 is about 9354.7540854904. The cubic root of 87511424 is about 443.9713208216.

The spelling of 87511424 in words is "eighty-seven million, five hundred eleven thousand, four hundred twenty-four".