1016400700 has 72 divisors (see below), whose sum is σ = 2607645600. Its totient is φ = 336456960.

The previous prime is 1016400661. The next prime is 1016400703. The reversal of 1016400700 is 70046101.

It is a happy number.

1016400700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016400703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4735 + ... + 45334.

It is an arithmetic number, because the mean of its divisors is an integer number (36217300).

Almost surely, 2^1016400700 is an apocalyptic number.

1016400700 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 1016400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303822800).

1016400700 is an abundant number, since it is smaller than the sum of its proper divisors (1591244900).

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

1016400700 is a wasteful number, since it uses less digits than its factorization.

1016400700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50119 (or 50112 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1016400700 is about 31881.0398199306. The cubic root of 1016400700 is about 1005.4372823777.

Adding to 1016400700 its reverse (70046101), we get a palindrome (1086446801).

The spelling of 1016400700 in words is "one billion, sixteen million, four hundred thousand, seven hundred".