1523968240 has 40 divisors (see below), whose sum is σ = 3575753280. Its totient is φ = 603991296.

The previous prime is 1523968141. The next prime is 1523968249. The reversal of 1523968240 is 428693251.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1523968193 and 1523968202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1523968249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78664 + ... + 96103.

It is an arithmetic number, because the mean of its divisors is an integer number (89393832).

Almost surely, 2^1523968240 is an apocalyptic number.

1523968240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1523968240 is an abundant number, since it is smaller than the sum of its proper divisors (2051785040).

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

1523968240 is a wasteful number, since it uses less digits than its factorization.

1523968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174889 (or 174883 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 1523968240 is about 39038.0358112444. The cubic root of 1523968240 is about 1150.7791166474.

The spelling of 1523968240 in words is "one billion, five hundred twenty-three million, nine hundred sixty-eight thousand, two hundred forty".