1947264 has 64 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 588800.

The previous prime is 1947259. The next prime is 1947269. The reversal of 1947264 is 4627491.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1947259) and next prime (1947269).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1947269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3994 + ... + 4454.

2^1947264 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 1947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440).

1947264 is an abundant number, since it is smaller than the sum of its proper divisors (3707616).

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

1947264 is a wasteful number, since it uses less digits than its factorization.

1947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1947264 is about 1395.4440153586. Note that the first 3 decimals coincide. The cubic root of 1947264 is about 124.8748400551.

It can be divided in two parts, 1947 and 264, that added together give a triangular number (2211 = T₆₆).

The spelling of 1947264 in words is "one million, nine hundred forty-seven thousand, two hundred sixty-four".