87619520 has 56 divisors (see below), whose sum is σ = 210787488. Its totient is φ = 34688000.

The previous prime is 87619517. The next prime is 87619523. The reversal of 87619520 is 2591678.

It is an interprime number because it is at equal distance from previous prime (87619517) and next prime (87619523).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87619523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30965 + ... + 33675.

Almost surely, 2^87619520 is an apocalyptic number.

87619520 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 87619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105393744).

87619520 is an abundant number, since it is smaller than the sum of its proper divisors (123167968).

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

87619520 is a wasteful number, since it uses less digits than its factorization.

87619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 87619520 is about 9360.5298995303. The cubic root of 87619520 is about 444.1540465931.

It can be divided in two parts, 8761 and 9520, that added together give a palindrome (18281).

The spelling of 87619520 in words is "eighty-seven million, six hundred nineteen thousand, five hundred twenty".