1254653680 has 160 divisors (see below), whose sum is σ = 3599769600. Its totient is φ = 397157376.

The previous prime is 1254653671. The next prime is 1254653689. The reversal of 1254653680 is 863564521.

It is an interprime number because it is at equal distance from previous prime (1254653671) and next prime (1254653689).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254653689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371841 + ... + 375199.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 2^1254653680 is an apocalyptic number.

1254653680 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 1254653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

1254653680 is an abundant number, since it is smaller than the sum of its proper divisors (2345115920).

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

1254653680 is a wasteful number, since it uses less digits than its factorization.

1254653680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 1254653680 is about 35421.0908922918. The cubic root of 1254653680 is about 1078.5524961037.

The spelling of 1254653680 in words is "one billion, two hundred fifty-four million, six hundred fifty-three thousand, six hundred eighty".