87338467920 has 240 divisors, whose sum is σ = 298933992000. Its totient is φ = 21078097920.

The previous prime is 87338467907. The next prime is 87338467981. The reversal of 87338467920 is 2976483378.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×87338467920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6585456 + ... + 6598704.

It is an arithmetic number, because the mean of its divisors is an integer number (1245558300).

Almost surely, 2^87338467920 is an apocalyptic number.

87338467920 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 87338467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149466996000).

87338467920 is an abundant number, since it is smaller than the sum of its proper divisors (211595524080).

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

87338467920 is a wasteful number, since it uses less digits than its factorization.

87338467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 87338467920 in words is "eighty-seven billion, three hundred thirty-eight million, four hundred sixty-seven thousand, nine hundred twenty".