88084480 has 208 divisors, whose sum is σ = 254772864. Its totient is φ = 28835840.

The previous prime is 88084471. The next prime is 88084481. The reversal of 88084480 is 8448088.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (88084481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3829749 + ... + 3829771.

Almost surely, 2^88084480 is an apocalyptic number.

88084480 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 88084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127386432).

88084480 is an abundant number, since it is smaller than the sum of its proper divisors (166688384).

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

88084480 is a wasteful number, since it uses less digits than its factorization.

88084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 88084480 is about 9385.3332386229. Note that the first 3 decimals coincide. The cubic root of 88084480 is about 444.9383073168.

The spelling of 88084480 in words is "eighty-eight million, eighty-four thousand, four hundred eighty".