1253760 has 64 divisors (see below), whose sum is σ = 4002480. Its totient is φ = 333824.

The previous prime is 1253741. The next prime is 1253761. The reversal of 1253760 is 673521.

1253760 = T₇₁ + T₇₂ + ... + T₁₉₈.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 1253760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1594 + ... + 2246.

2^1253760 is an apocalyptic number.

1253760 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 1253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001240).

1253760 is an abundant number, since it is smaller than the sum of its proper divisors (2748720).

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

1253760 is an equidigital number, since it uses as much as digits as its factorization.

1253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1253760 is about 1119.7142492618. The cubic root of 1253760 is about 107.8296353777.

Subtracting from 1253760 its sum of digits (24), we obtain a triangular number (1253736 = T₁₅₈₃).

The spelling of 1253760 in words is "one million, two hundred fifty-three thousand, seven hundred sixty".