87151920 has 80 divisors (see below), whose sum is σ = 274646112. Its totient is φ = 22855680.

The previous prime is 87151919. The next prime is 87151921. The reversal of 87151920 is 2915178.

It is an interprime number because it is at equal distance from previous prime (87151919) and next prime (87151921).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (87151921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11664 + ... + 17616.

Almost surely, 2^87151920 is an apocalyptic number.

87151920 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 87151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137323056).

87151920 is an abundant number, since it is smaller than the sum of its proper divisors (187494192).

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

87151920 is a wasteful number, since it uses less digits than its factorization.

87151920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6030 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 87151920 is about 9335.5192678287. The cubic root of 87151920 is about 443.3625297196.

The spelling of 87151920 in words is "eighty-seven million, one hundred fifty-one thousand, nine hundred twenty".