87290952 has 96 divisors (see below), whose sum is σ = 255816000. Its totient is φ = 24748416.

The previous prime is 87290941. The next prime is 87290963. The reversal of 87290952 is 25909278.

It is an interprime number because it is at equal distance from previous prime (87290941) and next prime (87290963).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233838 + ... + 234210.

It is an arithmetic number, because the mean of its divisors is an integer number (2664750).

Almost surely, 2^87290952 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 87290952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127908000).

87290952 is an abundant number, since it is smaller than the sum of its proper divisors (168525048).

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

87290952 is a wasteful number, since it uses less digits than its factorization.

87290952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 87290952 is about 9342.9626992726. The cubic root of 87290952 is about 443.5981674032.

The spelling of 87290952 in words is "eighty-seven million, two hundred ninety thousand, nine hundred fifty-two".