62048640 has 128 divisors (see below), whose sum is σ = 209524320. Its totient is φ = 15564800.

The previous prime is 62048617. The next prime is 62048647. The reversal of 62048640 is 4684026.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 62048598 and 62048607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62048647) by changing a digit.

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, 31690 + ... + 33590.

Almost surely, 2^62048640 is an apocalyptic number.

62048640 is a gapful number since it is divisible by the number (60) 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 62048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104762160).

62048640 is an abundant number, since it is smaller than the sum of its proper divisors (147475680).

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

62048640 is a wasteful number, since it uses less digits than its factorization.

62048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 62048640 is about 7877.0959115654. The cubic root of 62048640 is about 395.8926349073.

The spelling of 62048640 in words is "sixty-two million, forty-eight thousand, six hundred forty".