97458816 has 128 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 25694208.

The previous prime is 97458811. The next prime is 97458833. The reversal of 97458816 is 61885479.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×97458816² = 18996441632243712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97458811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33550 + ... + 36338.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 2^97458816 is an apocalyptic number.

97458816 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 97458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

97458816 is an abundant number, since it is smaller than the sum of its proper divisors (221270784).

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

97458816 is a wasteful number, since it uses less digits than its factorization.

97458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2814 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 97458816 is about 9872.1231758928. The cubic root of 97458816 is about 460.1933906441.

The spelling of 97458816 in words is "ninety-seven million, four hundred fifty-eight thousand, eight hundred sixteen".