87293952 has 114 divisors (see below), whose sum is σ = 258997778. Its totient is φ = 28311552.

The previous prime is 87293939. The next prime is 87293953. The reversal of 87293952 is 25939278.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 2359296 = 9216^2 + 1536^2 .

Its product of digits (272160) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 87293898 and 87293907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87293953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359278 + ... + 2359314.

Almost surely, 2^87293952 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 87293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129498889).

87293952 is an abundant number, since it is smaller than the sum of its proper divisors (171703826).

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

87293952 is an frugal number, since it uses more digits than its factorization.

87293952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 87293952 is about 9343.1232465381. The cubic root of 87293952 is about 443.6032491794.

The spelling of 87293952 in words is "eighty-seven million, two hundred ninety-three thousand, nine hundred fifty-two".