97482240 has 120 divisors (see below), whose sum is σ = 337688208. Its totient is φ = 25989120.

The previous prime is 97482239. The next prime is 97482251. The reversal of 97482240 is 4228479.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 97482195 and 97482204.

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 11 ways as a sum of consecutive naturals, for example, 20925 + ... + 25155.

Almost surely, 2^97482240 is an apocalyptic number.

97482240 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 97482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168844104).

97482240 is an abundant number, since it is smaller than the sum of its proper divisors (240205968).

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

97482240 is a wasteful number, since it uses less digits than its factorization.

97482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 97482240 is about 9873.3094755507. The cubic root of 97482240 is about 460.2302564948.

The spelling of 97482240 in words is "ninety-seven million, four hundred eighty-two thousand, two hundred forty".