87262320 has 80 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 23192832.

The previous prime is 87262313. The next prime is 87262367. The reversal of 87262320 is 2326278.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×87262320² = 15229424983564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 143457 + ... + 144063.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^87262320 is an apocalyptic number.

87262320 is a gapful number since it is divisible by the number (80) 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 87262320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

87262320 is an abundant number, since it is smaller than the sum of its proper divisors (184148880).

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

87262320 is a wasteful number, since it uses less digits than its factorization.

87262320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 87262320 is about 9341.4302973367. The cubic root of 87262320 is about 443.5496610713.

Adding to 87262320 its reverse (2326278), we get a palindrome (89588598).

The spelling of 87262320 in words is "eighty-seven million, two hundred sixty-two thousand, three hundred twenty".