88080048 has 300 divisors, whose sum is σ = 316434360. Its totient is φ = 23514624.

The previous prime is 88080019. The next prime is 88080049. The reversal of 88080048 is 84008088.

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

It is a junction number, because it is equal to n+sod(n) for n = 88079994 and 88080021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88080049) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1206540 + ... + 1206612.

Almost surely, 2^88080048 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 88080048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158217180).

88080048 is an abundant number, since it is smaller than the sum of its proper divisors (228354312).

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

88080048 is a wasteful number, since it uses less digits than its factorization.

88080048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88080048 is about 9385.0971225662. The cubic root of 88080048 is about 444.9308447852.

The spelling of 88080048 in words is "eighty-eight million, eighty thousand, forty-eight".