1016225280 has 240 divisors, whose sum is σ = 4022894304. Its totient is φ = 232243200.

The previous prime is 1016225257. The next prime is 1016225281. The reversal of 1016225280 is 825226101.

It is a happy number.

1016225280 is a `hidden beast` number, since 10 + 1 + 622 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1016225280² = 2065427639422156800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016225281) 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, 158130 + ... + 164430.

Almost surely, 2^1016225280 is an apocalyptic number.

1016225280 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 1016225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011447152).

1016225280 is an abundant number, since it is smaller than the sum of its proper divisors (3006669024).

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

1016225280 is an equidigital number, since it uses as much as digits as its factorization.

1016225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1016225280 is about 31878.2885362436. The cubic root of 1016225280 is about 1005.3794364396.

The spelling of 1016225280 in words is "one billion, sixteen million, two hundred twenty-five thousand, two hundred eighty".