87193920 has 224 divisors, whose sum is σ = 316016640. Its totient is φ = 20162560.

The previous prime is 87193889. The next prime is 87193927. The reversal of 87193920 is 2939178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87193927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 242701 + ... + 243059.

Almost surely, 2^87193920 is an apocalyptic number.

87193920 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 87193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

87193920 is an abundant number, since it is smaller than the sum of its proper divisors (228822720).

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

87193920 is a wasteful number, since it uses less digits than its factorization.

87193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 87193920 is about 9337.7684700361. The cubic root of 87193920 is about 443.4337396090.

The spelling of 87193920 in words is "eighty-seven million, one hundred ninety-three thousand, nine hundred twenty".