87976224 has 216 divisors, whose sum is σ = 305742528. Its totient is φ = 23500800.

The previous prime is 87976223. The next prime is 87976243. The reversal of 87976224 is 42267978.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 87976224.

It is not an unprimeable number, because it can be changed into a prime (87976223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582549 + ... + 582699.

Almost surely, 2^87976224 is an apocalyptic number.

87976224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87976224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152871264).

87976224 is an abundant number, since it is smaller than the sum of its proper divisors (217766304).

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

87976224 is a wasteful number, since it uses less digits than its factorization.

87976224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 87976224 is about 9379.5641689793. The cubic root of 87976224 is about 444.7559559067.

The spelling of 87976224 in words is "eighty-seven million, nine hundred seventy-six thousand, two hundred twenty-four".