1067265648 has 60 divisors (see below), whose sum is σ = 2993290560. Its totient is φ = 354989568.

The previous prime is 1067265637. The next prime is 1067265649. The reversal of 1067265648 is 8465627601.

1067265648 is a `hidden beast` number, since 1 + 0 + 67 + 26 + 564 + 8 = 666.

It is a super-3 number, since 3×1067265648³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067265649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61240 + ... + 76712.

It is an arithmetic number, because the mean of its divisors is an integer number (49888176).

Almost surely, 2^1067265648 is an apocalyptic number.

1067265648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1067265648 is an abundant number, since it is smaller than the sum of its proper divisors (1926024912).

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

1067265648 is a wasteful number, since it uses less digits than its factorization.

1067265648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15966 (or 15957 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1067265648 is about 32669.0319415804. The cubic root of 1067265648 is about 1021.9371261727.

The spelling of 1067265648 in words is "one billion, sixty-seven million, two hundred sixty-five thousand, six hundred forty-eight".