1301766420 has 96 divisors (see below), whose sum is σ = 3812272128. Its totient is φ = 331272832.

The previous prime is 1301766409. The next prime is 1301766451. The reversal of 1301766420 is 246671031.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 809257 + ... + 810863.

It is an arithmetic number, because the mean of its divisors is an integer number (39711168).

Almost surely, 2^1301766420 is an apocalyptic number.

1301766420 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 1301766420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906136064).

1301766420 is an abundant number, since it is smaller than the sum of its proper divisors (2510505708).

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

1301766420 is a wasteful number, since it uses less digits than its factorization.

1301766420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1301766420 is about 36080.0002771619. Note that the first 3 decimals coincide. The cubic root of 1301766420 is about 1091.8869819569.

The spelling of 1301766420 in words is "one billion, three hundred one million, seven hundred sixty-six thousand, four hundred twenty".