87263680 has 112 divisors (see below), whose sum is σ = 239938560. Its totient is φ = 29611008.

The previous prime is 87263651. The next prime is 87263717. The reversal of 87263680 is 8636278.

87263680 = T₃₃₆ + T₃₃₇ + ... + T₈₂₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×87263680² = 15229899694284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 365001 + ... + 365239.

Almost surely, 2^87263680 is an apocalyptic number.

87263680 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 87263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119969280).

87263680 is an abundant number, since it is smaller than the sum of its proper divisors (152674880).

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

87263680 is a wasteful number, since it uses less digits than its factorization.

87263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 87263680 is about 9341.5030910448. The cubic root of 87263680 is about 443.5519653282.

The spelling of 87263680 in words is "eighty-seven million, two hundred sixty-three thousand, six hundred eighty".