87783696 has 480 divisors, whose sum is σ = 356227200. Its totient is φ = 20321280.

The previous prime is 87783677. The next prime is 87783701. The reversal of 87783696 is 69638778.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (3048192) is a multiple of the sum of its prime factors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3027010 + ... + 3027038.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^87783696 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 87783696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

87783696 is an abundant number, since it is smaller than the sum of its proper divisors (268443504).

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

87783696 is a wasteful number, since it uses less digits than its factorization.

87783696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 87783696 is about 9369.2953843926. The cubic root of 87783696 is about 444.4312829065.

The spelling of 87783696 in words is "eighty-seven million, seven hundred eighty-three thousand, six hundred ninety-six".