92948640 has 96 divisors (see below), whose sum is σ = 299992896. Its totient is φ = 24176640.

The previous prime is 92948623. The next prime is 92948641. The reversal of 92948640 is 4684929.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×92948640³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 92948592 and 92948601.

It is not an unprimeable number, because it can be changed into a prime (92948641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17319 + ... + 22041.

It is an arithmetic number, because the mean of its divisors is an integer number (3124926).

Almost surely, 2^92948640 is an apocalyptic number.

92948640 is the 7872-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149996448).

92948640 is an abundant number, since it is smaller than the sum of its proper divisors (207044256).

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

92948640 is a wasteful number, since it uses less digits than its factorization.

92948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 92948640 is about 9640.9875012884. The cubic root of 92948640 is about 452.9820712268.

The spelling of 92948640 in words is "ninety-two million, nine hundred forty-eight thousand, six hundred forty".