1249920 has 192 divisors, whose sum is σ = 5091840. Its totient is φ = 276480.

The previous prime is 1249901. The next prime is 1249921. The reversal of 1249920 is 299421.

1249920 = T₁₆₉ + T₁₇₀ + ... + T₂₃₀.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40305 + ... + 40335.

It is an arithmetic number, because the mean of its divisors is an integer number (26520).

2^1249920 is an apocalyptic number.

1249920 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 1249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920).

1249920 is an abundant number, since it is smaller than the sum of its proper divisors (3841920).

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

1249920 is a wasteful number, since it uses less digits than its factorization.

1249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1249920 is about 1117.9982110898. The cubic root of 1249920 is about 107.7194363889.

The spelling of 1249920 in words is "one million, two hundred forty-nine thousand, nine hundred twenty".