1364480 has 80 divisors (see below), whose sum is σ = 3609144. Its totient is φ = 491520.

The previous prime is 1364477. The next prime is 1364483. The reversal of 1364480 is 844631.

1364480 = 17³ + 18³ + ... + 48³.

It is an interprime number because it is at equal distance from previous prime (1364477) and next prime (1364483).

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 891136 = 688^2 + 944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1364483) 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, 33260 + ... + 33300.

2^1364480 is an apocalyptic number.

1364480 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 1364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804572).

1364480 is an abundant number, since it is smaller than the sum of its proper divisors (2244664).

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

1364480 is an equidigital number, since it uses as much as digits as its factorization.

1364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1364480 is about 1168.1095839004. The cubic root of 1364480 is about 110.9146870369.

The spelling of 1364480 in words is "one million, three hundred sixty-four thousand, four hundred eighty".