1461964 has 18 divisors (see below), whose sum is σ = 2976540. Its totient is φ = 626472.

The previous prime is 1461953. The next prime is 1461973. The reversal of 1461964 is 4691641.

1461964 = T₆₁ + T₆₂ + ... + T₂₀₇.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3534 + ... + 3925.

2^1461964 is an apocalyptic number.

1461964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1461964 is an abundant number, since it is smaller than the sum of its proper divisors (1514576).

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

1461964 is a wasteful number, since it uses less digits than its factorization.

1461964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7468 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 1461964 is about 1209.1170332106. The cubic root of 1461964 is about 113.4955654306.

The spelling of 1461964 in words is "one million, four hundred sixty-one thousand, nine hundred sixty-four".