62493312 has 128 divisors (see below), whose sum is σ = 193098240. Its totient is φ = 17538048.

The previous prime is 62493287. The next prime is 62493359. The reversal of 62493312 is 21339426.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 62493312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179923 + ... + 180269.

It is an arithmetic number, because the mean of its divisors is an integer number (1508580).

Almost surely, 2^62493312 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 62493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96549120).

62493312 is an abundant number, since it is smaller than the sum of its proper divisors (130604928).

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

62493312 is a wasteful number, since it uses less digits than its factorization.

62493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 62493312 is about 7905.2711528448. The cubic root of 62493312 is about 396.8361071028.

The spelling of 62493312 in words is "sixty-two million, four hundred ninety-three thousand, three hundred twelve".