97381440 has 420 divisors, whose sum is σ = 396284196. Its totient is φ = 22560768.

The previous prime is 97381337. The next prime is 97381451. The reversal of 97381440 is 4418379.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 82944 + 97298496 = 288^2 + 9864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97381395 and 97381404.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5728312 + ... + 5728328.

Almost surely, 2^97381440 is an apocalyptic number.

97381440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198142098).

97381440 is an abundant number, since it is smaller than the sum of its proper divisors (298902756).

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

97381440 is a wasteful number, since it uses less digits than its factorization.

97381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97381440 is about 9868.2034839174. The cubic root of 97381440 is about 460.0715704644.

The spelling of 97381440 in words is "ninety-seven million, three hundred eighty-one thousand, four hundred forty".