87571440 has 120 divisors (see below), whose sum is σ = 320858928. Its totient is φ = 21227520.

The previous prime is 87571439. The next prime is 87571459. The reversal of 87571440 is 4417578.

87571440 is a `hidden beast` number, since 87 + 571 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87571395 and 87571404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2392 + ... + 13448.

Almost surely, 2^87571440 is an apocalyptic number.

87571440 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 87571440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160429464).

87571440 is an abundant number, since it is smaller than the sum of its proper divisors (233287488).

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

87571440 is a wasteful number, since it uses less digits than its factorization.

87571440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11087 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 87571440 is about 9357.9613164407. The cubic root of 87571440 is about 444.0727905981.

The spelling of 87571440 in words is "eighty-seven million, five hundred seventy-one thousand, four hundred forty".