1153022640 has 320 divisors, whose sum is σ = 4563136512. Its totient is φ = 233856000.

The previous prime is 1153022627. The next prime is 1153022669. The reversal of 1153022640 is 462203511.

1153022640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1153022640² = 2658922416705139200, which contains 22 as substring.

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 1153022640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 793915 + ... + 795365.

Almost surely, 2^1153022640 is an apocalyptic number.

1153022640 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 1153022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281568256).

1153022640 is an abundant number, since it is smaller than the sum of its proper divisors (3410113872).

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

1153022640 is a wasteful number, since it uses less digits than its factorization.

1153022640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1153022640 is about 33956.1870650990. The cubic root of 1153022640 is about 1048.6066598049.

The spelling of 1153022640 in words is "one billion, one hundred fifty-three million, twenty-two thousand, six hundred forty".