87373968 has 80 divisors (see below), whose sum is σ = 248365056. Its totient is φ = 26248320.

The previous prime is 87373967. The next prime is 87373969. The reversal of 87373968 is 86937378.

It is an interprime number because it is at equal distance from previous prime (87373967) and next prime (87373969).

It is a self number, because there is not a number n which added to its sum of digits gives 87373968.

It is not an unprimeable number, because it can be changed into a prime (87373961) 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 15 ways as a sum of consecutive naturals, for example, 66405 + ... + 67707.

Almost surely, 2^87373968 is an apocalyptic number.

87373968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87373968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124182528).

87373968 is an abundant number, since it is smaller than the sum of its proper divisors (160991088).

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

87373968 is a wasteful number, since it uses less digits than its factorization.

87373968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 87373968 is about 9347.4043455924. The cubic root of 87373968 is about 443.7387473705.

The spelling of 87373968 in words is "eighty-seven million, three hundred seventy-three thousand, nine hundred sixty-eight".