88630080 has 336 divisors, whose sum is σ = 356737920. Its totient is φ = 18247680.

The previous prime is 88630067. The next prime is 88630093. The reversal of 88630080 is 8003688.

It is an interprime number because it is at equal distance from previous prime (88630067) and next prime (88630093).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 813066 + ... + 813174.

It is an arithmetic number, because the mean of its divisors is an integer number (1061720).

Almost surely, 2^88630080 is an apocalyptic number.

88630080 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 88630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178368960).

88630080 is an abundant number, since it is smaller than the sum of its proper divisors (268107840).

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

88630080 is a wasteful number, since it uses less digits than its factorization.

88630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 88630080 is about 9414.3549964934. The cubic root of 88630080 is about 445.8550743370.

The spelling of 88630080 in words is "eighty-eight million, six hundred thirty thousand, eighty".