62436960 has 192 divisors, whose sum is σ = 222264000. Its totient is φ = 16367616.

The previous prime is 62436953. The next prime is 62436967. The reversal of 62436960 is 6963426.

62436960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (62436953) and next prime (62436967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62436967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418966 + ... + 419114.

It is an arithmetic number, because the mean of its divisors is an integer number (1157625).

Almost surely, 2^62436960 is an apocalyptic number.

62436960 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 62436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132000).

62436960 is an abundant number, since it is smaller than the sum of its proper divisors (159827040).

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

62436960 is a wasteful number, since it uses less digits than its factorization.

62436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 62436960 is about 7901.7061448778. The cubic root of 62436960 is about 396.7167917574.

It can be divided in two parts, 6243 and 6960, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 62436960 in words is "sixty-two million, four hundred thirty-six thousand, nine hundred sixty".