87353640 has 384 divisors, whose sum is σ = 345945600. Its totient is φ = 19595520.

The previous prime is 87353639. The next prime is 87353671. The reversal of 87353640 is 4635378.

It is a happy number.

87353640 is a `hidden beast` number, since 8 + 7 + 3 + 5 + 3 + 640 = 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 = 87353595 and 87353604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031459 + ... + 2031501.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^87353640 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 87353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

87353640 is an abundant number, since it is smaller than the sum of its proper divisors (258591960).

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

87353640 is a wasteful number, since it uses less digits than its factorization.

87353640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 87353640 is about 9346.3169216542. The cubic root of 87353640 is about 443.7043320060.

The spelling of 87353640 in words is "eighty-seven million, three hundred fifty-three thousand, six hundred forty".