1939413960 has 192 divisors, whose sum is σ = 6899256000. Its totient is φ = 468579840.

The previous prime is 1939413953. The next prime is 1939413967. The reversal of 1939413960 is 693149391.

1939413960 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 (1939413953) and next prime (1939413967).

It is a super-2 number, since 2×1939413960² = 7522653016485763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1939413967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539811 + ... + 1541069.

It is an arithmetic number, because the mean of its divisors is an integer number (35933625).

Almost surely, 2^1939413960 is an apocalyptic number.

1939413960 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 1939413960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449628000).

1939413960 is an abundant number, since it is smaller than the sum of its proper divisors (4959842040).

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

1939413960 is a wasteful number, since it uses less digits than its factorization.

1939413960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 1939413960 is about 44038.7779121992. Note that the first 3 decimals coincide. The cubic root of 1939413960 is about 1247.0681067113.

The spelling of 1939413960 in words is "one billion, nine hundred thirty-nine million, four hundred thirteen thousand, nine hundred sixty".