87829056 has 224 divisors, whose sum is σ = 302849280. Its totient is φ = 24440832.

The previous prime is 87829051. The next prime is 87829061. The reversal of 87829056 is 65092878.

It is an interprime number because it is at equal distance from previous prime (87829051) and next prime (87829061).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×87829056² = 15427886155702272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87829051) 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, 641020 + ... + 641156.

Almost surely, 2^87829056 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 87829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151424640).

87829056 is an abundant number, since it is smaller than the sum of its proper divisors (215020224).

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

87829056 is a wasteful number, since it uses less digits than its factorization.

87829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 87829056 is about 9371.7157447289. The cubic root of 87829056 is about 444.5078192590.

The spelling of 87829056 in words is "eighty-seven million, eight hundred twenty-nine thousand, fifty-six".