87491520 has 168 divisors, whose sum is σ = 318814704. Its totient is φ = 21946368.

The previous prime is 87491519. The next prime is 87491527. The reversal of 87491520 is 2519478.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87491527) 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 23 ways as a sum of consecutive naturals, for example, 48067 + ... + 49853.

Almost surely, 2^87491520 is an apocalyptic number.

87491520 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 87491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159407352).

87491520 is an abundant number, since it is smaller than the sum of its proper divisors (231323184).

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

87491520 is a wasteful number, since it uses less digits than its factorization.

87491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 87491520 is about 9353.6901808858. The cubic root of 87491520 is about 443.9376586443.

The spelling of 87491520 in words is "eighty-seven million, four hundred ninety-one thousand, five hundred twenty".