1022345820 has 96 divisors (see below), whose sum is σ = 3186892800. Its totient is φ = 272089152.

The previous prime is 1022345803. The next prime is 1022345867. The reversal of 1022345820 is 285432201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326221 + ... + 329339.

It is an arithmetic number, because the mean of its divisors is an integer number (33196800).

Almost surely, 2^1022345820 is an apocalyptic number.

1022345820 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 1022345820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593446400).

1022345820 is an abundant number, since it is smaller than the sum of its proper divisors (2164546980).

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

1022345820 is a wasteful number, since it uses less digits than its factorization.

1022345820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1022345820 is about 31974.1429908606. The cubic root of 1022345820 is about 1007.3938035994.

It can be divided in two parts, 1022345 and 820, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 1022345820 in words is "one billion, twenty-two million, three hundred forty-five thousand, eight hundred twenty".