87972468 has 12 divisors (see below), whose sum is σ = 205269120. Its totient is φ = 29324152.

The previous prime is 87972463. The next prime is 87972473. The reversal of 87972468 is 86427978.

It is an interprime number because it is at equal distance from previous prime (87972463) and next prime (87972473).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×87972468² = 15478310252022048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87972468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87972463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3665508 + ... + 3665531.

It is an arithmetic number, because the mean of its divisors is an integer number (17105760).

Almost surely, 2^87972468 is an apocalyptic number.

It is an amenable number.

87972468 is an abundant number, since it is smaller than the sum of its proper divisors (117296652).

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

87972468 is a wasteful number, since it uses less digits than its factorization.

87972468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7331046 (or 7331044 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 87972468 is about 9379.3639443195. The cubic root of 87972468 is about 444.7496264422.

The spelling of 87972468 in words is "eighty-seven million, nine hundred seventy-two thousand, four hundred sixty-eight".