97446240 has 240 divisors, whose sum is σ = 351999648. Its totient is φ = 25380864.

The previous prime is 97446203. The next prime is 97446253. The reversal of 97446240 is 4264479.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 97446195 and 97446204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 946029 + ... + 946131.

Almost surely, 2^97446240 is an apocalyptic number.

97446240 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 97446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175999824).

97446240 is an abundant number, since it is smaller than the sum of its proper divisors (254553408).

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

97446240 is a wasteful number, since it uses less digits than its factorization.

97446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 97446240 is about 9871.4862102928. The cubic root of 97446240 is about 460.1735954756.

The spelling of 97446240 in words is "ninety-seven million, four hundred forty-six thousand, two hundred forty".