87145952 has 48 divisors (see below), whose sum is σ = 178400880. Its totient is φ = 41868288.

The previous prime is 87145909. The next prime is 87145963. The reversal of 87145952 is 25954178.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104963 + ... + 105789.

It is an arithmetic number, because the mean of its divisors is an integer number (3716685).

Almost surely, 2^87145952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200440).

87145952 is an abundant number, since it is smaller than the sum of its proper divisors (91254928).

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

87145952 is a wasteful number, since it uses less digits than its factorization.

87145952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 87145952 is about 9335.1996229325. The cubic root of 87145952 is about 443.3524092771.

The spelling of 87145952 in words is "eighty-seven million, one hundred forty-five thousand, nine hundred fifty-two".