1146964 has 48 divisors (see below), whose sum is σ = 2596608. Its totient is φ = 430848.

The previous prime is 1146953. The next prime is 1146967. The reversal of 1146964 is 4696411.

1146964 = 207² + 208² + ... + 230².

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146967) 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, 8304 + ... + 8440.

It is an arithmetic number, because the mean of its divisors is an integer number (54096).

2^1146964 is an apocalyptic number.

1146964 is a gapful number since it is divisible by the number (14) 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 1146964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298304).

1146964 is an abundant number, since it is smaller than the sum of its proper divisors (1449644).

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

1146964 is a wasteful number, since it uses less digits than its factorization.

1146964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 1146964 is about 1070.9640516843. The cubic root of 1146964 is about 104.6766773842.

The spelling of 1146964 in words is "one million, one hundred forty-six thousand, nine hundred sixty-four".