92975040 has 280 divisors, whose sum is σ = 351842832. Its totient is φ = 23224320.

The previous prime is 92975033. The next prime is 92975081. The reversal of 92975040 is 4057929.

92975040 is nontrivially palindromic in base 11.

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 = 92974986 and 92975004.

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 39 ways as a sum of consecutive naturals, for example, 440535 + ... + 440745.

Almost surely, 2^92975040 is an apocalyptic number.

92975040 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 92975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175921416).

92975040 is an abundant number, since it is smaller than the sum of its proper divisors (258867792).

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

92975040 is a wasteful number, since it uses less digits than its factorization.

92975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 92975040 is about 9642.3565584353. The cubic root of 92975040 is about 453.0249536712.

The spelling of 92975040 in words is "ninety-two million, nine hundred seventy-five thousand, forty".