87250464 has 144 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 24643584.

The previous prime is 87250441. The next prime is 87250517. The reversal of 87250464 is 46405278.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×87250464² = 15225286936430592, 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 23 ways as a sum of consecutive naturals, for example, 227617 + ... + 227999.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 2^87250464 is an apocalyptic number.

87250464 is a gapful number since it is divisible by the number (84) 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 87250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

87250464 is an abundant number, since it is smaller than the sum of its proper divisors (199569888).

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

87250464 is a wasteful number, since it uses less digits than its factorization.

87250464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 87250464 is about 9340.7956834522. The cubic root of 87250464 is about 443.5295723589.

The spelling of 87250464 in words is "eighty-seven million, two hundred fifty thousand, four hundred sixty-four".