4261600 has 72 divisors (see below), whose sum is σ = 11905488. Its totient is φ = 1459200.

The previous prime is 4261597. The next prime is 4261613. The reversal of 4261600 is 61624.

It is a super-2 number, since 2×4261600² = 36322469120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5220 + ... + 5980.

It is an arithmetic number, because the mean of its divisors is an integer number (165354).

Almost surely, 2^4261600 is an apocalyptic number.

4261600 is a gapful number since it is divisible by the number (40) 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 4261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952744).

4261600 is an abundant number, since it is smaller than the sum of its proper divisors (7643888).

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

4261600 is a wasteful number, since it uses less digits than its factorization.

4261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

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

The square root of 4261600 is about 2064.3643089339. The cubic root of 4261600 is about 162.1278267645.

The spelling of 4261600 in words is "four million, two hundred sixty-one thousand, six hundred".