87145740 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 19860480.

The previous prime is 87145739. The next prime is 87145753. The reversal of 87145740 is 4754178.

87145740 is a `hidden beast` number, since 87 + 1 + 4 + 574 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 87145695 and 87145704.

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 63 ways as a sum of consecutive naturals, for example, 100549 + ... + 101411.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^87145740 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 87145740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

87145740 is an abundant number, since it is smaller than the sum of its proper divisors (226382580).

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

87145740 is a wasteful number, since it uses less digits than its factorization.

87145740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 87145740 is about 9335.1882680533. The cubic root of 87145740 is about 443.3520497623.

The spelling of 87145740 in words is "eighty-seven million, one hundred forty-five thousand, seven hundred forty".