87667776 has 168 divisors, whose sum is σ = 304312320. Its totient is φ = 23556096.

The previous prime is 87667771. The next prime is 87667781. The reversal of 87667776 is 67776678.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87667771) and next prime (87667781).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (87667771) 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 23 ways as a sum of consecutive naturals, for example, 67905 + ... + 69183.

Almost surely, 2^87667776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87667776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

87667776 is an abundant number, since it is smaller than the sum of its proper divisors (216644544).

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

87667776 is a wasteful number, since it uses less digits than its factorization.

87667776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1308 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 87667776 is about 9363.1071765734. The cubic root of 87667776 is about 444.2355701476.

The spelling of 87667776 in words is "eighty-seven million, six hundred sixty-seven thousand, seven hundred seventy-six".