87753652 has 48 divisors (see below), whose sum is σ = 184383360. Its totient is φ = 35747712.

The previous prime is 87753649. The next prime is 87753667. The reversal of 87753652 is 25635778.

It is a junction number, because it is equal to n+sod(n) for n = 87753599 and 87753608.

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 15 ways as a sum of consecutive naturals, for example, 53598 + ... + 55210.

It is an arithmetic number, because the mean of its divisors is an integer number (3841320).

Almost surely, 2^87753652 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 87753652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92191680).

87753652 is an abundant number, since it is smaller than the sum of its proper divisors (96629708).

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

87753652 is a wasteful number, since it uses less digits than its factorization.

87753652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The square root of 87753652 is about 9367.6919249087. The cubic root of 87753652 is about 444.3805748683.

The spelling of 87753652 in words is "eighty-seven million, seven hundred fifty-three thousand, six hundred fifty-two".