1462968 has 64 divisors (see below), whose sum is σ = 4384800. Its totient is φ = 449280.

The previous prime is 1462957. The next prime is 1462973. The reversal of 1462968 is 8692641.

1462968 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2548 + ... + 3068.

2^1462968 is an apocalyptic number.

1462968 is a gapful number since it is divisible by the number (18) 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 1462968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192400).

1462968 is an abundant number, since it is smaller than the sum of its proper divisors (2921832).

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

1462968 is a wasteful number, since it uses less digits than its factorization.

1462968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1462968 is about 1209.5321409537. The cubic root of 1462968 is about 113.5215404142.

The spelling of 1462968 in words is "one million, four hundred sixty-two thousand, nine hundred sixty-eight".