1476960 has 96 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 368640.

The previous prime is 1476953. The next prime is 1476961. The reversal of 1476960 is 696741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1476961) 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, 8070 + ... + 8250.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2^1476960 is an apocalyptic number.

1476960 is a gapful number since it is divisible by the number (10) 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 1476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

1476960 is an abundant number, since it is smaller than the sum of its proper divisors (3476352).

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

1476960 is a wasteful number, since it uses less digits than its factorization.

1476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1476960 is about 1215.3024314960. The cubic root of 1476960 is about 113.8823038914.

The spelling of 1476960 in words is "one million, four hundred seventy-six thousand, nine hundred sixty".