62648640 has 140 divisors (see below), whose sum is σ = 222944436. Its totient is φ = 16699392.

The previous prime is 62648623. The next prime is 62648653. The reversal of 62648640 is 4684626.

It is a happy number.

62648640 is a `hidden beast` number, since 6 + 2 + 6 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 16842816 = 6768^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 62648595 and 62648604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24712 + ... + 27128.

Almost surely, 2^62648640 is an apocalyptic number.

62648640 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 62648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111472218).

62648640 is an abundant number, since it is smaller than the sum of its proper divisors (160295796).

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

62648640 is a wasteful number, since it uses less digits than its factorization.

62648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 62648640 is about 7915.0893867347. The cubic root of 62648640 is about 397.1646156447.

The spelling of 62648640 in words is "sixty-two million, six hundred forty-eight thousand, six hundred forty".