87962625 has 64 divisors (see below), whose sum is σ = 165484800. Its totient is φ = 46094400.

The previous prime is 87962621. The next prime is 87962627. The reversal of 87962625 is 52626978.

It is not a de Polignac number, because 87962625 - 2² = 87962621 is a prime.

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

Its product of digits (362880) is a multiple of the sum of its prime factors (480).

It is not an unprimeable number, because it can be changed into a prime (87962621) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 225931 + ... + 226319.

It is an arithmetic number, because the mean of its divisors is an integer number (2585700).

Almost surely, 2^87962625 is an apocalyptic number.

It is an amenable number.

87962625 is a deficient number, since it is larger than the sum of its proper divisors (77522175).

87962625 is a wasteful number, since it uses less digits than its factorization.

87962625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

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

The square root of 87962625 is about 9378.8392138900. The cubic root of 87962625 is about 444.7330385485.

It can be divided in two parts, 879 and 62625, that added together give a square (63504 = 252²).

The spelling of 87962625 in words is "eighty-seven million, nine hundred sixty-two thousand, six hundred twenty-five".