1023219540 has 288 divisors, whose sum is σ = 3874590720. Its totient is φ = 221429376.

The previous prime is 1023219523. The next prime is 1023219541. The reversal of 1023219540 is 459123201.

1023219540 is a `hidden beast` number, since 102 + 3 + 2 + 19 + 540 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023219541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 645589 + ... + 647171.

It is an arithmetic number, because the mean of its divisors is an integer number (13453440).

Almost surely, 2^1023219540 is an apocalyptic number.

1023219540 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 1023219540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937295360).

1023219540 is an abundant number, since it is smaller than the sum of its proper divisors (2851371180).

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

1023219540 is a wasteful number, since it uses less digits than its factorization.

1023219540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1023219540 is about 31987.8029880140. The cubic root of 1023219540 is about 1007.6807024403.

The spelling of 1023219540 in words is "one billion, twenty-three million, two hundred nineteen thousand, five hundred forty".