97971440 has 80 divisors (see below), whose sum is σ = 262429632. Its totient is φ = 33318912.

The previous prime is 97971407. The next prime is 97971443. The reversal of 97971440 is 4417979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97971443) 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, 76082 + ... + 77358.

Almost surely, 2^97971440 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 97971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131214816).

97971440 is an abundant number, since it is smaller than the sum of its proper divisors (164458192).

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

97971440 is a wasteful number, since it uses less digits than its factorization.

97971440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 97971440 is about 9898.0523336665. The cubic root of 97971440 is about 460.9988377590.

The spelling of 97971440 in words is "ninety-seven million, nine hundred seventy-one thousand, four hundred forty".