87265620 has 192 divisors, whose sum is σ = 302561280. Its totient is φ = 20736000.

The previous prime is 87265609. The next prime is 87265639. The reversal of 87265620 is 2656278.

87265620 is a `hidden beast` number, since 8 + 7 + 26 + 5 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217420 + ... + 217820.

It is an arithmetic number, because the mean of its divisors is an integer number (1575840).

Almost surely, 2^87265620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87265620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151280640).

87265620 is an abundant number, since it is smaller than the sum of its proper divisors (215295660).

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

87265620 is a wasteful number, since it uses less digits than its factorization.

87265620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87265620 is about 9341.6069281468. The cubic root of 87265620 is about 443.5552522415. Note that the first 3 decimals are identical.

The spelling of 87265620 in words is "eighty-seven million, two hundred sixty-five thousand, six hundred twenty".