97419264 has 64 divisors (see below), whose sum is σ = 260042880. Its totient is φ = 32440320.

The previous prime is 97419211. The next prime is 97419269. The reversal of 97419264 is 46291479.

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

It is not an unprimeable number, because it can be changed into a prime (97419269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97809 + ... + 98799.

It is an arithmetic number, because the mean of its divisors is an integer number (4063170).

Almost surely, 2^97419264 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 97419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130021440).

97419264 is an abundant number, since it is smaller than the sum of its proper divisors (162623616).

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

97419264 is an frugal number, since it uses more digits than its factorization.

97419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 996 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 97419264 is about 9870.1197561124. The cubic root of 97419264 is about 460.1311283383.

The spelling of 97419264 in words is "ninety-seven million, four hundred nineteen thousand, two hundred sixty-four".