88716420 has 144 divisors (see below), whose sum is σ = 299400192. Its totient is φ = 21116160.

The previous prime is 88716409. The next prime is 88716431. The reversal of 88716420 is 2461788.

88716420 is a `hidden beast` number, since 8 + 8 + 7 + 1 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88716409) and next prime (88716431).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71929 + ... + 73151.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 2^88716420 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 88716420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

88716420 is an abundant number, since it is smaller than the sum of its proper divisors (210683772).

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

88716420 is a wasteful number, since it uses less digits than its factorization.

88716420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88716420 is about 9418.9394307427. The cubic root of 88716420 is about 445.9998056130. Note that the first 3 decimals are identical.

The spelling of 88716420 in words is "eighty-eight million, seven hundred sixteen thousand, four hundred twenty".