87545340 has 96 divisors (see below), whose sum is σ = 273960960. Its totient is φ = 23208768.

The previous prime is 87545327. The next prime is 87545363. The reversal of 87545340 is 4354578.

87545340 is a `hidden beast` number, since 87 + 545 + 34 + 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 = 87545295 and 87545304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120057 + ... + 120783.

It is an arithmetic number, because the mean of its divisors is an integer number (2853760).

Almost surely, 2^87545340 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 87545340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136980480).

87545340 is an abundant number, since it is smaller than the sum of its proper divisors (186415620).

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

87545340 is a wasteful number, since it uses less digits than its factorization.

87545340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 87545340 is about 9356.5666780075. The cubic root of 87545340 is about 444.0286687113.

The spelling of 87545340 in words is "eighty-seven million, five hundred forty-five thousand, three hundred forty".