87263088 has 160 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 24729600.

The previous prime is 87263087. The next prime is 87263089. The reversal of 87263088 is 88036278.

It is an interprime number because it is at equal distance from previous prime (87263087) and next prime (87263089).

It is a super-2 number, since 2×87263088² = 15229693054591488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87263087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627723 + ... + 627861.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^87263088 is an apocalyptic number.

87263088 is a gapful number since it is divisible by the number (88) 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 87263088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

87263088 is an abundant number, since it is smaller than the sum of its proper divisors (175220112).

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

87263088 is a wasteful number, since it uses less digits than its factorization.

87263088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87263088 is about 9341.4714044416. The cubic root of 87263088 is about 443.5509623017.

It can be divided in two parts, 87 and 263088, that added together give a triangular number (263175 = T₇₂₅).

The spelling of 87263088 in words is "eighty-seven million, two hundred sixty-three thousand, eighty-eight".