1020293820 has 336 divisors, whose sum is σ = 3958933440. Its totient is φ = 214990848.

The previous prime is 1020293797. The next prime is 1020293839. The reversal of 1020293820 is 283920201.

It is a happy number.

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 111 ways as a sum of consecutive naturals, for example, 1326396 + ... + 1327164.

It is an arithmetic number, because the mean of its divisors is an integer number (11782540).

Almost surely, 2^1020293820 is an apocalyptic number.

1020293820 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 1020293820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979466720).

1020293820 is an abundant number, since it is smaller than the sum of its proper divisors (2938639620).

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

1020293820 is a wasteful number, since it uses less digits than its factorization.

1020293820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1020293820 is about 31942.0384446578. The cubic root of 1020293820 is about 1006.7193557986.

The spelling of 1020293820 in words is "one billion, twenty million, two hundred ninety-three thousand, eight hundred twenty".