262968420 has 96 divisors (see below), whose sum is σ = 865065600. Its totient is φ = 58844160.

The previous prime is 262968403. The next prime is 262968421. The reversal of 262968420 is 24869262.

262968420 is digitally balanced in base 2 and base 3, because in such bases 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 (39).

It is not an unprimeable number, because it can be changed into a prime (262968421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6745 + ... + 23904.

It is an arithmetic number, because the mean of its divisors is an integer number (9011100).

Almost surely, 2^262968420 is an apocalyptic number.

262968420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

262968420 is an abundant number, since it is smaller than the sum of its proper divisors (602097180).

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

262968420 is a wasteful number, since it uses less digits than its factorization.

262968420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30685 (or 30683 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 262968420 is about 16216.3010578862. The cubic root of 262968420 is about 640.6702126171.

It can be divided in two parts, 26296 and 8420, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 262968420 in words is "two hundred sixty-two million, nine hundred sixty-eight thousand, four hundred twenty".