1013947920 has 360 divisors, whose sum is σ = 3714512256. Its totient is φ = 247684608.

The previous prime is 1013947877. The next prime is 1013947927. The reversal of 1013947920 is 297493101.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1013947927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12216199 + ... + 12216281.

Almost surely, 2^1013947920 is an apocalyptic number.

1013947920 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 1013947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857256128).

1013947920 is an abundant number, since it is smaller than the sum of its proper divisors (2700564336).

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

1013947920 is a wasteful number, since it uses less digits than its factorization.

1013947920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1013947920 is about 31842.5488929514. The cubic root of 1013947920 is about 1004.6278565719.

The spelling of 1013947920 in words is "one billion, thirteen million, nine hundred forty-seven thousand, nine hundred twenty".