87435720 has 128 divisors (see below), whose sum is σ = 306864000. Its totient is φ = 22083840.

The previous prime is 87435653. The next prime is 87435721. The reversal of 87435720 is 2753478.

87435720 is a `hidden beast` number, since 87 + 4 + 3 + 572 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (87435721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18390 + ... + 22650.

It is an arithmetic number, because the mean of its divisors is an integer number (2397375).

Almost surely, 2^87435720 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 87435720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153432000).

87435720 is an abundant number, since it is smaller than the sum of its proper divisors (219428280).

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

87435720 is a wasteful number, since it uses less digits than its factorization.

87435720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 87435720 is about 9350.7069251474. The cubic root of 87435720 is about 443.8432609644.

The spelling of 87435720 in words is "eighty-seven million, four hundred thirty-five thousand, seven hundred twenty".