87543456 has 192 divisors, whose sum is σ = 308883456. Its totient is φ = 20966400.

The previous prime is 87543437. The next prime is 87543457. The reversal of 87543456 is 65434578.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (87543457) 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, 95641 + ... + 96551.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^87543456 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 87543456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

87543456 is an abundant number, since it is smaller than the sum of its proper divisors (221340000).

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

87543456 is a wasteful number, since it uses less digits than its factorization.

87543456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 87543456 is about 9356.4659995107. The cubic root of 87543456 is about 444.0254834817.

The spelling of 87543456 in words is "eighty-seven million, five hundred forty-three thousand, four hundred fifty-six".