87354960 has 320 divisors, whose sum is σ = 351406080. Its totient is φ = 17418240.

The previous prime is 87354947. The next prime is 87354977. The reversal of 87354960 is 6945378.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 535839 + ... + 536001.

It is an arithmetic number, because the mean of its divisors is an integer number (1098144).

Almost surely, 2^87354960 is an apocalyptic number.

87354960 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 87354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

87354960 is an abundant number, since it is smaller than the sum of its proper divisors (264051120).

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

87354960 is a wasteful number, since it uses less digits than its factorization.

87354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 87354960 is about 9346.3875374393. The cubic root of 87354960 is about 443.7065669320.

It can be divided in two parts, 8735 and 4960, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 87354960 in words is "eighty-seven million, three hundred fifty-four thousand, nine hundred sixty".