97581888 has 112 divisors (see below), whose sum is σ = 289560000. Its totient is φ = 32223744.

The previous prime is 97581877. The next prime is 97581899. The reversal of 97581888 is 88818579.

It is an interprime number because it is at equal distance from previous prime (97581877) and next prime (97581899).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257283 + ... + 257661.

Almost surely, 2^97581888 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 97581888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144780000).

97581888 is an abundant number, since it is smaller than the sum of its proper divisors (191978112).

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

97581888 is a wasteful number, since it uses less digits than its factorization.

97581888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The square root of 97581888 is about 9878.3545188457. The cubic root of 97581888 is about 460.3870214837.

The spelling of 97581888 in words is "ninety-seven million, five hundred eighty-one thousand, eight hundred eighty-eight".