87262848 has 96 divisors (see below), whose sum is σ = 253000800. Its totient is φ = 28869120.

The previous prime is 87262823. The next prime is 87262871. The reversal of 87262848 is 84826278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×87262848² = 15229609282142208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242893 + ... + 243251.

It is an arithmetic number, because the mean of its divisors is an integer number (2635425).

Almost surely, 2^87262848 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 87262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126500400).

87262848 is an abundant number, since it is smaller than the sum of its proper divisors (165737952).

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

87262848 is a wasteful number, since it uses less digits than its factorization.

87262848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 87262848 is about 9341.4585584907. The cubic root of 87262848 is about 443.5505556680.

The spelling of 87262848 in words is "eighty-seven million, two hundred sixty-two thousand, eight hundred forty-eight".