97290648 has 192 divisors, whose sum is σ = 335462400. Its totient is φ = 24779520.

The previous prime is 97290629. The next prime is 97290671. The reversal of 97290648 is 84609279.

It is a happy number.

It is a super-3 number, since 3×97290648³ (a number of 25 digits) contains 333 as substring.

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, 202873 + ... + 203351.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^97290648 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 97290648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

97290648 is an abundant number, since it is smaller than the sum of its proper divisors (238171752).

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

97290648 is a wasteful number, since it uses less digits than its factorization.

97290648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97290648 is about 9863.6021817590. The cubic root of 97290648 is about 459.9285459271.

The spelling of 97290648 in words is "ninety-seven million, two hundred ninety thousand, six hundred forty-eight".