88058880 has 528 divisors, whose sum is σ = 392041440. Its totient is φ = 18579456.

The previous prime is 88058869. The next prime is 88058891. The reversal of 88058880 is 8885088.

It is an interprime number because it is at equal distance from previous prime (88058869) and next prime (88058891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773754 + ... + 6773766.

Almost surely, 2^88058880 is an apocalyptic number.

88058880 is a gapful number since it is divisible by the number (80) 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 88058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020720).

88058880 is an abundant number, since it is smaller than the sum of its proper divisors (303982560).

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

88058880 is a wasteful number, since it uses less digits than its factorization.

88058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The square root of 88058880 is about 9383.9693094127. The cubic root of 88058880 is about 444.8951989875.

The spelling of 88058880 in words is "eighty-eight million, fifty-eight thousand, eight hundred eighty".