1914960 has 80 divisors (see below), whose sum is σ = 6071040. Its totient is φ = 499200.

The previous prime is 1914959. The next prime is 1914961. The reversal of 1914960 is 694191.

It is an interprime number because it is at equal distance from previous prime (1914959) and next prime (1914961).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914961) 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, 18910 + ... + 19010.

It is an arithmetic number, because the mean of its divisors is an integer number (75888).

2^1914960 is an apocalyptic number.

1914960 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 1914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520).

1914960 is an abundant number, since it is smaller than the sum of its proper divisors (4156080).

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

1914960 is a wasteful number, since it uses less digits than its factorization.

1914960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1914960 is about 1383.8207976469. The cubic root of 1914960 is about 124.1804518024.

It can be divided in two parts, 191 and 4960, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 1914960 in words is "one million, nine hundred fourteen thousand, nine hundred sixty".