1151623040 has 64 divisors (see below), whose sum is σ = 2767806720. Its totient is φ = 458188800.

The previous prime is 1151623037. The next prime is 1151623043. The reversal of 1151623040 is 403261511.

It is an interprime number because it is at equal distance from previous prime (1151623037) and next prime (1151623043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1151622997 and 1151623015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151623043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117530 + ... + 126950.

It is an arithmetic number, because the mean of its divisors is an integer number (43246980).

Almost surely, 2^1151623040 is an apocalyptic number.

1151623040 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 1151623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383903360).

1151623040 is an abundant number, since it is smaller than the sum of its proper divisors (1616183680).

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

1151623040 is an equidigital number, since it uses as much as digits as its factorization.

1151623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9631 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1151623040 is about 33935.5718973469. The cubic root of 1151623040 is about 1048.1822032332.

Adding to 1151623040 its reverse (403261511), we get a palindrome (1554884551).

The spelling of 1151623040 in words is "one billion, one hundred fifty-one million, six hundred twenty-three thousand, forty".