87038640 has 240 divisors, whose sum is σ = 333916128. Its totient is φ = 20127744.

The previous prime is 87038593. The next prime is 87038659. The reversal of 87038640 is 4683078.

87038640 is a `hidden beast` number, since 8 + 7 + 0 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 87038595 and 87038604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158847 + ... + 159393.

Almost surely, 2^87038640 is an apocalyptic number.

87038640 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 87038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166958064).

87038640 is an abundant number, since it is smaller than the sum of its proper divisors (246877488).

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

87038640 is a wasteful number, since it uses less digits than its factorization.

87038640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87038640 is about 9329.4501445691. The cubic root of 87038640 is about 443.1703523374.

It can be divided in two parts, 87038 and 640, that added together give a palindrome (87678).

The spelling of 87038640 in words is "eighty-seven million, thirty-eight thousand, six hundred forty".