62400 has 84 divisors (see below), whose sum is σ = 220472. Its totient is φ = 15360.

The previous prime is 62383. The next prime is 62401. The reversal of 62400 is 426.

62400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4794 + ... + 4806.

2⁶²⁴⁰⁰ is an apocalyptic number.

62400 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 62400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110236).

62400 is an abundant number, since it is smaller than the sum of its proper divisors (158072).

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

62400 is a wasteful number, since it uses less digits than its factorization.

62400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 62400 is about 249.7999199359. The cubic root of 62400 is about 39.6638496536.

Adding to 62400 its reverse (426), we get a palindrome (62826).

It can be divided in two parts, 6 and 2400, that multiplied together give a square (14400 = 120²).

The spelling of 62400 in words is "sixty-two thousand, four hundred".