262601040 has 160 divisors (see below), whose sum is σ = 928440576. Its totient is φ = 60825600.

The previous prime is 262601021. The next prime is 262601041. The reversal of 262601040 is 40106262.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 262600998 and 262601016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262601041) 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, 50565 + ... + 55515.

Almost surely, 2^262601040 is an apocalyptic number.

262601040 is a gapful number since it is divisible by the number (20) 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 262601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464220288).

262601040 is an abundant number, since it is smaller than the sum of its proper divisors (665839536).

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

262601040 is a wasteful number, since it uses less digits than its factorization.

262601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 262601040 is about 16204.9696081171. The cubic root of 262601040 is about 640.3717241579.

The spelling of 262601040 in words is "two hundred sixty-two million, six hundred one thousand, forty".