62530624 has 56 divisors (see below), whose sum is σ = 141521688. Its totient is φ = 27156480.

The previous prime is 62530621. The next prime is 62530639. The reversal of 62530624 is 42603526.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15745024 + 46785600 = 3968^2 + 6840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 62530592 and 62530601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62530621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11934 + ... + 16354.

It is an arithmetic number, because the mean of its divisors is an integer number (2527173).

Almost surely, 2^62530624 is an apocalyptic number.

62530624 is a gapful number since it is divisible by the number (64) 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 62530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70760844).

62530624 is an abundant number, since it is smaller than the sum of its proper divisors (78991064).

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

62530624 is a wasteful number, since it uses less digits than its factorization.

62530624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 62530624 is about 7907.6307450462. The cubic root of 62530624 is about 396.9150691683.

The spelling of 62530624 in words is "sixty-two million, five hundred thirty thousand, six hundred twenty-four".