1410864 has 160 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 331776.

The previous prime is 1410859. The next prime is 1410887. The reversal of 1410864 is 4680141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74247 + ... + 74265.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2^1410864 is an apocalyptic number.

1410864 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 1410864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

1410864 is an abundant number, since it is smaller than the sum of its proper divisors (3588816).

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

1410864 is a wasteful number, since it uses less digits than its factorization.

1410864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1410864 is about 1187.7979626182. The cubic root of 1410864 is about 112.1575164607.

It can be divided in two parts, 14 and 10864, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 1410864 in words is "one million, four hundred ten thousand, eight hundred sixty-four".