87626952 has 144 divisors (see below), whose sum is σ = 280949760. Its totient is φ = 24167808.

The previous prime is 87626947. The next prime is 87626971. The reversal of 87626952 is 25962678.

It is a junction number, because it is equal to n+sod(n) for n = 87626898 and 87626907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 689913 + ... + 690039.

It is an arithmetic number, because the mean of its divisors is an integer number (1951040).

Almost surely, 2^87626952 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 87626952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140474880).

87626952 is an abundant number, since it is smaller than the sum of its proper divisors (193322808).

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

87626952 is a wasteful number, since it uses less digits than its factorization.

87626952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 176 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 87626952 is about 9360.9268771848. The cubic root of 87626952 is about 444.1666041432.

The spelling of 87626952 in words is "eighty-seven million, six hundred twenty-six thousand, nine hundred fifty-two".