1020272640 has 336 divisors, whose sum is σ = 3595347648. Its totient is φ = 246546432.

The previous prime is 1020272633. The next prime is 1020272647. The reversal of 1020272640 is 462720201.

It is an interprime number because it is at equal distance from previous prime (1020272633) and next prime (1020272647).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1020272640.

It is not an unprimeable number, because it can be changed into a prime (1020272647) 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, 44359669 + ... + 44359691.

Almost surely, 2^1020272640 is an apocalyptic number.

1020272640 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 1020272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797673824).

1020272640 is an abundant number, since it is smaller than the sum of its proper divisors (2575075008).

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

1020272640 is an equidigital number, since it uses as much as digits as its factorization.

1020272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1020272640 is about 31941.7069049229. The cubic root of 1020272640 is about 1006.7123896799.

Adding to 1020272640 its reverse (462720201), we get a palindrome (1482992841).

The spelling of 1020272640 in words is "one billion, twenty million, two hundred seventy-two thousand, six hundred forty".