81007488 has 96 divisors (see below), whose sum is σ = 245442600. Its totient is φ = 25574400.

The previous prime is 81007481. The next prime is 81007501. The reversal of 81007488 is 88470018.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×81007488² = 13124426224140288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81007481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20038 + ... + 23738.

Almost surely, 2^81007488 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 81007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122721300).

81007488 is an abundant number, since it is smaller than the sum of its proper divisors (164435112).

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

81007488 is a wasteful number, since it uses less digits than its factorization.

81007488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 81007488 is about 9000.4159903862. The cubic root of 81007488 is about 432.6882034774.

The spelling of 81007488 in words is "eighty-one million, seven thousand, four hundred eighty-eight".