87629625 has 24 divisors (see below), whose sum is σ = 157969032. Its totient is φ = 46735200.

The previous prime is 87629623. The next prime is 87629651. The reversal of 87629625 is 52692678.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 87553449 = 276^2 + 9357^2 .

It is not a de Polignac number, because 87629625 - 2¹ = 87629623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87629621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37822 + ... + 40071.

It is an arithmetic number, because the mean of its divisors is an integer number (6582043).

Almost surely, 2^87629625 is an apocalyptic number.

It is an amenable number.

87629625 is a deficient number, since it is larger than the sum of its proper divisors (70339407).

87629625 is a wasteful number, since it uses less digits than its factorization.

87629625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77914 (or 77901 counting only the distinct ones).

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

The square root of 87629625 is about 9361.0696504192. The cubic root of 87629625 is about 444.1711204297.

The spelling of 87629625 in words is "eighty-seven million, six hundred twenty-nine thousand, six hundred twenty-five".