1268153820 has 192 divisors, whose sum is σ = 4055654400. Its totient is φ = 332983872.

The previous prime is 1268153779. The next prime is 1268153839. The reversal of 1268153820 is 283518621.

It is a happy number.

1268153820 is a `hidden beast` number, since 1 + 26 + 81 + 538 + 20 = 666.

It is a super-2 number, since 2×1268153820² = 3216428222361184800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3455277 + ... + 3455643.

It is an arithmetic number, because the mean of its divisors is an integer number (21123200).

Almost surely, 2^1268153820 is an apocalyptic number.

1268153820 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 1268153820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027827200).

1268153820 is an abundant number, since it is smaller than the sum of its proper divisors (2787500580).

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

1268153820 is an equidigital number, since it uses as much as digits as its factorization.

1268153820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1268153820 is about 35611.1474120113. The cubic root of 1268153820 is about 1082.4071309406.

The spelling of 1268153820 in words is "one billion, two hundred sixty-eight million, one hundred fifty-three thousand, eight hundred twenty".