87814848 has 56 divisors (see below), whose sum is σ = 253471680. Its totient is φ = 26609920.

The previous prime is 87814829. The next prime is 87814849. The reversal of 87814848 is 84841878.

It is a happy number.

It is a super-2 number, since 2×87814848² = 15422895058526208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 87814797 and 87814806.

It is not an unprimeable number, because it can be changed into a prime (87814849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18678 + ... + 22901.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2^87814848 is an apocalyptic number.

87814848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

87814848 is an abundant number, since it is smaller than the sum of its proper divisors (165656832).

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

87814848 is a wasteful number, since it uses less digits than its factorization.

87814848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41605 (or 41595 counting only the distinct ones).

The product of its digits is 458752, while the sum is 48.

The square root of 87814848 is about 9370.9576885183. The cubic root of 87814848 is about 444.4838488026.

The spelling of 87814848 in words is "eighty-seven million, eight hundred fourteen thousand, eight hundred forty-eight".