1415964 has 48 divisors (see below), whose sum is σ = 3822336. Its totient is φ = 403200.

The previous prime is 1415957. The next prime is 1415971. The reversal of 1415964 is 4695141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1415957) and next prime (1415971).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (79632).

2^1415964 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 1415964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911168).

1415964 is an abundant number, since it is smaller than the sum of its proper divisors (2406372).

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

1415964 is a wasteful number, since it uses less digits than its factorization.

1415964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1415964 is about 1189.9428557708. The cubic root of 1415964 is about 112.2924965126.

It can be divided in two parts, 141 and 5964, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 1415964 in words is "one million, four hundred fifteen thousand, nine hundred sixty-four".