87822768 has 60 divisors (see below), whose sum is σ = 249392024. Its totient is φ = 26611200.

The previous prime is 87822767. The next prime is 87822773. The reversal of 87822768 is 86722878.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (87822767) 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 11 ways as a sum of consecutive naturals, for example, 1753 + ... + 13368.

Almost surely, 2^87822768 is an apocalyptic number.

87822768 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 87822768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124696012).

87822768 is an abundant number, since it is smaller than the sum of its proper divisors (161569256).

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

87822768 is a wasteful number, since it uses less digits than its factorization.

87822768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15154 (or 15137 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 87822768 is about 9371.3802611995. The cubic root of 87822768 is about 444.4972110313.

The spelling of 87822768 in words is "eighty-seven million, eight hundred twenty-two thousand, seven hundred sixty-eight".