976140 has 144 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 215040.

The previous prime is 976127. The next prime is 976147. The reversal of 976140 is 41679.

976140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 976140.

It is not an unprimeable number, because it can be changed into a prime (976147) 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, 33646 + ... + 33674.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁹⁷⁶¹⁴⁰ is an apocalyptic number.

976140 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 976140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

976140 is an abundant number, since it is smaller than the sum of its proper divisors (2561940).

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

976140 is a wasteful number, since it uses less digits than its factorization.

976140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 976140 is about 987.9979757064. The cubic root of 976140 is about 99.1982559093.

It can be divided in two parts, 9761 and 40, that added together give a square (9801 = 99²).

The spelling of 976140 in words is "nine hundred seventy-six thousand, one hundred forty".