60806400 has 108 divisors (see below), whose sum is σ = 200737152. Its totient is φ = 16209920.

The previous prime is 60806371. The next prime is 60806419. The reversal of 60806400 is 460806.

60806400 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 (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17617 + ... + 20783.

Almost surely, 2^60806400 is an apocalyptic number.

60806400 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 60806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100368576).

60806400 is an abundant number, since it is smaller than the sum of its proper divisors (139930752).

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

60806400 is a wasteful number, since it uses less digits than its factorization.

60806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 60806400 is about 7797.8458563888. The cubic root of 60806400 is about 393.2328256715.

The spelling of 60806400 in words is "sixty million, eight hundred six thousand, four hundred".