87194880 has 270 divisors, whose sum is σ = 323128806. Its totient is φ = 22450176.

The previous prime is 87194879. The next prime is 87194897. The reversal of 87194880 is 8849178.

It can be written as a sum of positive squares in 3 ways, for example, as 10036224 + 77158656 = 3168^2 + 8784^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

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 29 ways as a sum of consecutive naturals, for example, 3006706 + ... + 3006734.

Almost surely, 2^87194880 is an apocalyptic number.

87194880 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 87194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161564403).

87194880 is an abundant number, since it is smaller than the sum of its proper divisors (235933926).

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

87194880 is an equidigital number, since it uses as much as digits as its factorization.

87194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 87194880 is about 9337.8198740391. The cubic root of 87194880 is about 443.4353669963.

Multiplying 87194880 by its sum of digits (45), we get a square (3923769600 = 62640²).

87194880 divided by its sum of digits (45) gives a square (1937664 = 1392²).

The spelling of 87194880 in words is "eighty-seven million, one hundred ninety-four thousand, eight hundred eighty".