267985152 has 144 divisors (see below), whose sum is σ = 801084480. Its totient is φ = 88363008.

The previous prime is 267985103. The next prime is 267985153. The reversal of 267985152 is 251589762.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 267985098 and 267985107.

It is not an unprimeable number, because it can be changed into a prime (267985153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946803 + ... + 947085.

Almost surely, 2^267985152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400542240).

267985152 is an abundant number, since it is smaller than the sum of its proper divisors (533099328).

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

267985152 is a wasteful number, since it uses less digits than its factorization.

267985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 267985152 is about 16370.2520444861. The cubic root of 267985152 is about 644.7186658407.

The spelling of 267985152 in words is "two hundred sixty-seven million, nine hundred eighty-five thousand, one hundred fifty-two".