1022657216 has 112 divisors (see below), whose sum is σ = 2455468800. Its totient is φ = 412812288.

The previous prime is 1022657203. The next prime is 1022657221. The reversal of 1022657216 is 6127562201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2698115 + ... + 2698493.

Almost surely, 2^1022657216 is an apocalyptic number.

1022657216 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 1022657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227734400).

1022657216 is an abundant number, since it is smaller than the sum of its proper divisors (1432811584).

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

1022657216 is a wasteful number, since it uses less digits than its factorization.

1022657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1022657216 is about 31979.0121173247. The cubic root of 1022657216 is about 1007.4960738066.

The spelling of 1022657216 in words is "one billion, twenty-two million, six hundred fifty-seven thousand, two hundred sixteen".