1290724680 has 384 divisors, whose sum is σ = 4761953280. Its totient is φ = 278691840.

The previous prime is 1290724667. The next prime is 1290724693. The reversal of 1290724680 is 864270921.

1290724680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1290724667) and next prime (1290724693).

It is a super-2 number, since 2×1290724680² = 3331940399122204800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13306392 + ... + 13306488.

It is an arithmetic number, because the mean of its divisors is an integer number (12400920).

Almost surely, 2^1290724680 is an apocalyptic number.

1290724680 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 1290724680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380976640).

1290724680 is an abundant number, since it is smaller than the sum of its proper divisors (3471228600).

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

1290724680 is a wasteful number, since it uses less digits than its factorization.

1290724680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1290724680 is about 35926.6569555254. The cubic root of 1290724680 is about 1088.7910395823.

The spelling of 1290724680 in words is "one billion, two hundred ninety million, seven hundred twenty-four thousand, six hundred eighty".