87276960 has 192 divisors, whose sum is σ = 310262400. Its totient is φ = 22910976.

The previous prime is 87276953. The next prime is 87276961. The reversal of 87276960 is 6967278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87276961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384367 + ... + 384593.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^87276960 is an apocalyptic number.

87276960 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 87276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

87276960 is an abundant number, since it is smaller than the sum of its proper divisors (222985440).

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

87276960 is a wasteful number, since it uses less digits than its factorization.

87276960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 87276960 is about 9342.2138703843. The cubic root of 87276960 is about 443.5744644608.

The spelling of 87276960 in words is "eighty-seven million, two hundred seventy-six thousand, nine hundred sixty".