62401600 has 84 divisors (see below), whose sum is σ = 157291024. Its totient is φ = 24353280.

The previous prime is 62401583. The next prime is 62401601. The reversal of 62401600 is 610426.

It is not an unprimeable number, because it can be changed into a prime (62401601) 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, 68347 + ... + 69253.

Almost surely, 2^62401600 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 62401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78645512).

62401600 is an abundant number, since it is smaller than the sum of its proper divisors (94889424).

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

62401600 is a wasteful number, since it uses less digits than its factorization.

62401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 62401600 is about 7899.4683365401. The cubic root of 62401600 is about 396.6418865798.

It can be divided in two parts, 62401 and 600, that added together give a square (63001 = 251²).

The spelling of 62401600 in words is "sixty-two million, four hundred one thousand, six hundred".