1145760 has 192 divisors, whose sum is σ = 4644864. Its totient is φ = 230400.

The previous prime is 1145747. The next prime is 1145773. The reversal of 1145760 is 675411.

1145760 = T₁₇₆ + T₁₇₇ + ... + T₂₃₀.

It is an interprime number because it is at equal distance from previous prime (1145747) and next prime (1145773).

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 1145760.

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, 36945 + ... + 36975.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2^1145760 is an apocalyptic number.

1145760 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 1145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432).

1145760 is an abundant number, since it is smaller than the sum of its proper divisors (3499104).

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

1145760 is a wasteful number, since it uses less digits than its factorization.

1145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1145760 is about 1070.4017937205. The cubic root of 1145760 is about 104.6400372209.

The spelling of 1145760 in words is "one million, one hundred forty-five thousand, seven hundred sixty".