87667380 has 96 divisors (see below), whose sum is σ = 281594880. Its totient is φ = 22619520.

The previous prime is 87667373. The next prime is 87667381. The reversal of 87667380 is 8376678.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87667381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14122 + ... + 19358.

It is an arithmetic number, because the mean of its divisors is an integer number (2933280).

Almost surely, 2^87667380 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 87667380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140797440).

87667380 is an abundant number, since it is smaller than the sum of its proper divisors (193927500).

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

87667380 is a wasteful number, since it uses less digits than its factorization.

87667380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 87667380 is about 9363.0860297233. The cubic root of 87667380 is about 444.2349012681.

The spelling of 87667380 in words is "eighty-seven million, six hundred sixty-seven thousand, three hundred eighty".