97406496 has 192 divisors, whose sum is σ = 319455360. Its totient is φ = 28615680.

The previous prime is 97406479. The next prime is 97406501. The reversal of 97406496 is 69460479.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351510 + ... + 351786.

It is an arithmetic number, because the mean of its divisors is an integer number (1663830).

Almost surely, 2^97406496 is an apocalyptic number.

97406496 is a gapful number since it is divisible by the number (96) 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 97406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159727680).

97406496 is an abundant number, since it is smaller than the sum of its proper divisors (222048864).

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

97406496 is a wasteful number, since it uses less digits than its factorization.

97406496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 97406496 is about 9869.4729342554. The cubic root of 97406496 is about 460.1110255007. Note that the first 3 decimals are identical.

The spelling of 97406496 in words is "ninety-seven million, four hundred six thousand, four hundred ninety-six".