97468000 has 144 divisors (see below), whose sum is σ = 278407584. Its totient is φ = 32851200.

The previous prime is 97467991. The next prime is 97468001. The reversal of 97468000 is 86479.

It is a super-2 number, since 2×97468000² = 19000022048000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97468001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651971 + ... + 1652029.

It is an arithmetic number, because the mean of its divisors is an integer number (1933386).

Almost surely, 2^97468000 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 97468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139203792).

97468000 is an abundant number, since it is smaller than the sum of its proper divisors (180939584).

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

97468000 is an equidigital number, since it uses as much as digits as its factorization.

97468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 97468000 is about 9872.5883131021. The cubic root of 97468000 is about 460.2078455818.

The spelling of 97468000 in words is "ninety-seven million, four hundred sixty-eight thousand".