1233960 has 128 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 258048.

The previous prime is 1233949. The next prime is 1233983. The reversal of 1233960 is 693321.

1233960 = T₂₉₅ + T₂₉₆ + ... + T₃₂₀.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1233960.

It is a congruent number.

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, 10864 + ... + 10976.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2^1233960 is an apocalyptic number.

1233960 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 1233960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

1233960 is an abundant number, since it is smaller than the sum of its proper divisors (3362520).

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

1233960 is a wasteful number, since it uses less digits than its factorization.

1233960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1233960 is about 1110.8375218726. The cubic root of 1233960 is about 107.2589877331.

1233960 divided by its sum of digits (24) gives a palindrome (51415).

The spelling of 1233960 in words is "one million, two hundred thirty-three thousand, nine hundred sixty".