260277072 has 160 divisors (see below), whose sum is σ = 786806784. Its totient is φ = 73267200.

The previous prime is 260277019. The next prime is 260277079. The reversal of 260277072 is 270772062.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260277079) 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, 960297 + ... + 960567.

Almost surely, 2^260277072 is an apocalyptic number.

260277072 is a gapful number since it is divisible by the number (22) 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 260277072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393403392).

260277072 is an abundant number, since it is smaller than the sum of its proper divisors (526529712).

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

260277072 is a wasteful number, since it uses less digits than its factorization.

260277072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 260277072 is about 16133.1048468669. The cubic root of 260277072 is about 638.4770690432.

The spelling of 260277072 in words is "two hundred sixty million, two hundred seventy-seven thousand, seventy-two".