1167664640 has 40 divisors (see below), whose sum is σ = 2799664560. Its totient is φ = 467064832.

The previous prime is 1167664633. The next prime is 1167664643. The reversal of 1167664640 is 464667611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167664643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225500 + ... + 230619.

It is an arithmetic number, because the mean of its divisors is an integer number (69991614).

Almost surely, 2^1167664640 is an apocalyptic number.

1167664640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1167664640 is an abundant number, since it is smaller than the sum of its proper divisors (1631999920).

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

1167664640 is an frugal number, since it uses more digits than its factorization.

1167664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456142 (or 456126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 1167664640 is about 34171.1082641462. The cubic root of 1167664640 is about 1053.0266835108.

The spelling of 1167664640 in words is "one billion, one hundred sixty-seven million, six hundred sixty-four thousand, six hundred forty".