62976 has 40 divisors (see below), whose sum is σ = 171864. Its totient is φ = 20480.

The previous prime is 62971. The next prime is 62981. The reversal of 62976 is 67926.

It is an interprime number because it is at equal distance from previous prime (62971) and next prime (62981).

It is a d-powerful number, because it can be written as 6⁵ + 2¹³ + 9 + 7³ + 6⁶ .

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62976.

It is not an unprimeable number, because it can be changed into a prime (62971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1516 + ... + 1556.

2⁶²⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932).

62976 is an abundant number, since it is smaller than the sum of its proper divisors (108888).

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

62976 is an equidigital number, since it uses as much as digits as its factorization.

62976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 62976 is about 250.9501942617. The cubic root of 62976 is about 39.7855186661.

Subtracting 62976 from its reverse (67926), we obtain a triangular number (4950 = T₉₉).

The spelling of 62976 in words is "sixty-two thousand, nine hundred seventy-six".