4261920 has 96 divisors (see below), whose sum is σ = 14478912. Its totient is φ = 1047552.

The previous prime is 4261903. The next prime is 4261931. The reversal of 4261920 is 291624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5899 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 2^4261920 is an apocalyptic number.

4261920 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 4261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456).

4261920 is an abundant number, since it is smaller than the sum of its proper divisors (10216992).

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

4261920 is a wasteful number, since it uses less digits than its factorization.

4261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4261920 is about 2064.4418131786. The cubic root of 4261920 is about 162.1318846775.

It can be divided in two parts, 426 and 1920, that added together give a triangular number (2346 = T₆₈).

The spelling of 4261920 in words is "four million, two hundred sixty-one thousand, nine hundred twenty".