97642064 has 80 divisors (see below), whose sum is σ = 221652480. Its totient is φ = 41264640.

The previous prime is 97642063. The next prime is 97642081. The reversal of 97642064 is 46024679.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97642063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122114 + ... + 122910.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^97642064 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 97642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

97642064 is an abundant number, since it is smaller than the sum of its proper divisors (124010416).

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

97642064 is a wasteful number, since it uses less digits than its factorization.

97642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 97642064 is about 9881.3999008238. The cubic root of 97642064 is about 460.4816379374.

The spelling of 97642064 in words is "ninety-seven million, six hundred forty-two thousand, sixty-four".