976416 has 48 divisors (see below), whose sum is σ = 2931264. Its totient is φ = 278784.

The previous prime is 976411. The next prime is 976439. The reversal of 976416 is 614679.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (976411) by changing a digit.

976416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (61068).

2⁹⁷⁶⁴¹⁶ is an apocalyptic number.

976416 is a gapful number since it is divisible by the number (96) 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 976416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465632).

976416 is an abundant number, since it is smaller than the sum of its proper divisors (1954848).

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

976416 is a wasteful number, since it uses less digits than its factorization.

976416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 976416 is about 988.1376422341. The cubic root of 976416 is about 99.2076043425.

The spelling of 976416 in words is "nine hundred seventy-six thousand, four hundred sixteen".