975008340 has 96 divisors (see below), whose sum is σ = 3070945920. Its totient is φ = 259990560.

The previous prime is 975008317. The next prime is 975008347. The reversal of 975008340 is 43800579.

975008340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 975008295 and 975008304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975008347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32595 + ... + 54885.

It is an arithmetic number, because the mean of its divisors is an integer number (31989020).

Almost surely, 2^975008340 is an apocalyptic number.

975008340 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 975008340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535472960).

975008340 is an abundant number, since it is smaller than the sum of its proper divisors (2095937580).

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

975008340 is a wasteful number, since it uses less digits than its factorization.

975008340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22321 (or 22301 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 975008340 is about 31225.1235385867. The cubic root of 975008340 is about 991.5990686529.

The spelling of 975008340 in words is "nine hundred seventy-five million, eight thousand, three hundred forty".