87167052 has 72 divisors (see below), whose sum is σ = 253274112. Its totient is φ = 24760800.

The previous prime is 87167051. The next prime is 87167077. The reversal of 87167052 is 25076178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87166998 and 87167016.

It is not an unprimeable number, because it can be changed into a prime (87167051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47227 + ... + 49037.

It is an arithmetic number, because the mean of its divisors is an integer number (3517696).

Almost surely, 2^87167052 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 87167052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126637056).

87167052 is an abundant number, since it is smaller than the sum of its proper divisors (166107060).

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

87167052 is a wasteful number, since it uses less digits than its factorization.

87167052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87167052 is about 9336.3296856956. The cubic root of 87167052 is about 443.3881882614.

The spelling of 87167052 in words is "eighty-seven million, one hundred sixty-seven thousand, fifty-two".