87262560 has 288 divisors, whose sum is σ = 371734272. Its totient is φ = 18109440.

The previous prime is 87262543. The next prime is 87262579. The reversal of 87262560 is 6526278.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×87262560² = 15229508755507200, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 110487 + ... + 111273.

It is an arithmetic number, because the mean of its divisors is an integer number (1290744).

Almost surely, 2^87262560 is an apocalyptic number.

87262560 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 87262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185867136).

87262560 is an abundant number, since it is smaller than the sum of its proper divisors (284471712).

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

87262560 is a wasteful number, since it uses less digits than its factorization.

87262560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87262560 is about 9341.4431433264. The cubic root of 87262560 is about 443.5500677066.

The spelling of 87262560 in words is "eighty-seven million, two hundred sixty-two thousand, five hundred sixty".