1154664032 has 96 divisors (see below), whose sum is σ = 2464862400. Its totient is φ = 531007488.

The previous prime is 1154664031. The next prime is 1154664073. The reversal of 1154664032 is 2304664511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1154664032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154664031) 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, 2968094 + ... + 2968482.

It is an arithmetic number, because the mean of its divisors is an integer number (25675650).

Almost surely, 2^1154664032 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 1154664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232431200).

1154664032 is an abundant number, since it is smaller than the sum of its proper divisors (1310198368).

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

1154664032 is a wasteful number, since it uses less digits than its factorization.

1154664032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1154664032 is about 33980.3477321819. The cubic root of 1154664032 is about 1049.1040072229.

The spelling of 1154664032 in words is "one billion, one hundred fifty-four million, six hundred sixty-four thousand, thirty-two".