97838464 has 64 divisors (see below), whose sum is σ = 202718880. Its totient is φ = 47001600.

The previous prime is 97838441. The next prime is 97838473. The reversal of 97838464 is 46483879.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540454 + ... + 540634.

Almost surely, 2^97838464 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 97838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101359440).

97838464 is an abundant number, since it is smaller than the sum of its proper divisors (104880416).

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

97838464 is a wasteful number, since it uses less digits than its factorization.

97838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The square root of 97838464 is about 9891.3327716744. The cubic root of 97838464 is about 460.7901730800.

The spelling of 97838464 in words is "ninety-seven million, eight hundred thirty-eight thousand, four hundred sixty-four".