1005416940 has 192 divisors, whose sum is σ = 3239792640. Its totient is φ = 230588160.

The previous prime is 1005416869. The next prime is 1005416953. The reversal of 1005416940 is 496145001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1005416898 and 1005416907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1623951 + ... + 1624569.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 2^1005416940 is an apocalyptic number.

1005416940 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 1005416940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

1005416940 is an abundant number, since it is smaller than the sum of its proper divisors (2234375700).

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

1005416940 is a wasteful number, since it uses less digits than its factorization.

1005416940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1005416940 is about 31708.3102671839. The cubic root of 1005416940 is about 1001.8023960833.

The spelling of 1005416940 in words is "one billion, five million, four hundred sixteen thousand, nine hundred forty".