1025206416 has 160 divisors (see below), whose sum is σ = 3307288320. Its totient is φ = 301694976.

The previous prime is 1025206411. The next prime is 1025206423. The reversal of 1025206416 is 6146025201.

1025206416 is a `hidden beast` number, since 10 + 2 + 5 + 2 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1025206416.

It is not an unprimeable number, because it can be changed into a prime (1025206411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125200 + ... + 133136.

It is an arithmetic number, because the mean of its divisors is an integer number (20670552).

Almost surely, 2^1025206416 is an apocalyptic number.

1025206416 is a gapful number since it is divisible by the number (16) 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 1025206416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653644160).

1025206416 is an abundant number, since it is smaller than the sum of its proper divisors (2282081904).

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

1025206416 is a wasteful number, since it uses less digits than its factorization.

1025206416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7990 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1025206416 is about 32018.8447012068. The cubic root of 1025206416 is about 1008.3325150158.

The spelling of 1025206416 in words is "one billion, twenty-five million, two hundred six thousand, four hundred sixteen".