62013952 has 160 divisors (see below), whose sum is σ = 167739264. Its totient is φ = 22302720.

The previous prime is 62013923. The next prime is 62013971. The reversal of 62013952 is 25931026.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 62013952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4770298 + ... + 4770310.

Almost surely, 2^62013952 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 62013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83869632).

62013952 is an abundant number, since it is smaller than the sum of its proper divisors (105725312).

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

62013952 is an equidigital number, since it uses as much as digits as its factorization.

62013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 62013952 is about 7874.8937770614. The cubic root of 62013952 is about 395.8188471842.

Adding to 62013952 its reverse (25931026), we get a palindrome (87944978).

It can be divided in two parts, 6201 and 3952, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 62013952 in words is "sixty-two million, thirteen thousand, nine hundred fifty-two".