97475040 has 288 divisors, whose sum is σ = 369847296. Its totient is φ = 23224320.

The previous prime is 97475033. The next prime is 97475041. The reversal of 97475040 is 4057479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 97474986 and 97475004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97475041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767457 + ... + 767583.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 2^97475040 is an apocalyptic number.

97475040 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 97475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

97475040 is an abundant number, since it is smaller than the sum of its proper divisors (272372256).

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

97475040 is a wasteful number, since it uses less digits than its factorization.

97475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 97475040 is about 9872.9448494358. The cubic root of 97475040 is about 460.2189254071.

The spelling of 97475040 in words is "ninety-seven million, four hundred seventy-five thousand, forty".