87162240 has 128 divisors (see below), whose sum is σ = 303160320. Its totient is φ = 21125120.

The previous prime is 87162233. The next prime is 87162289. The reversal of 87162240 is 4226178.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87162198 and 87162207.

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 15 ways as a sum of consecutive naturals, for example, 19057 + ... + 23183.

It is an arithmetic number, because the mean of its divisors is an integer number (2368440).

Almost surely, 2^87162240 is an apocalyptic number.

87162240 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 87162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580160).

87162240 is an abundant number, since it is smaller than the sum of its proper divisors (215998080).

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

87162240 is a wasteful number, since it uses less digits than its factorization.

87162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 87162240 is about 9336.0719791570. The cubic root of 87162240 is about 443.3800291264.

The spelling of 87162240 in words is "eighty-seven million, one hundred sixty-two thousand, two hundred forty".