1065467952 has 80 divisors (see below), whose sum is σ = 3062705760. Its totient is φ = 354643200.

The previous prime is 1065467891. The next prime is 1065467971. The reversal of 1065467952 is 2597645601.

1065467952 is a `hidden beast` number, since 10 + 6 + 546 + 7 + 95 + 2 = 666.

It is a super-2 number, since 2×1065467952² = 2270443913478148608, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1065467898 and 1065467907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405202 + ... + 407822.

It is an arithmetic number, because the mean of its divisors is an integer number (38283822).

Almost surely, 2^1065467952 is an apocalyptic number.

1065467952 is a gapful number since it is divisible by the number (12) 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 1065467952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531352880).

1065467952 is an abundant number, since it is smaller than the sum of its proper divisors (1997237808).

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

1065467952 is a wasteful number, since it uses less digits than its factorization.

1065467952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1065467952 is about 32641.5065828770. The cubic root of 1065467952 is about 1021.3630220782.

It can be divided in two parts, 10654 and 67952, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 1065467952 in words is "one billion, sixty-five million, four hundred sixty-seven thousand, nine hundred fifty-two".