87607520 has 192 divisors, whose sum is σ = 278401536. Its totient is φ = 25159680.

The previous prime is 87607489. The next prime is 87607523. The reversal of 87607520 is 2570678.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87607523) 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 31 ways as a sum of consecutive naturals, for example, 159887 + ... + 160433.

It is an arithmetic number, because the mean of its divisors is an integer number (1450008).

Almost surely, 2^87607520 is an apocalyptic number.

87607520 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 87607520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139200768).

87607520 is an abundant number, since it is smaller than the sum of its proper divisors (190794016).

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

87607520 is a wasteful number, since it uses less digits than its factorization.

87607520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 87607520 is about 9359.8888882294. Note that the first 6 decimals coincide. The cubic root of 87607520 is about 444.1337691789.

The spelling of 87607520 in words is "eighty-seven million, six hundred seven thousand, five hundred twenty".