96971364 has 192 divisors, whose sum is σ = 311449600. Its totient is φ = 25474176.

The previous prime is 96971363. The next prime is 96971377. The reversal of 96971364 is 46317969.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96971363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617574 + ... + 617730.

Almost surely, 2^96971364 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 96971364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155724800).

96971364 is an abundant number, since it is smaller than the sum of its proper divisors (214478236).

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

96971364 is a wasteful number, since it uses less digits than its factorization.

96971364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 96971364 is about 9847.4039218466. The cubic root of 96971364 is about 459.4248703876.

The spelling of 96971364 in words is "ninety-six million, nine hundred seventy-one thousand, three hundred sixty-four".