1625934240 has 144 divisors (see below), whose sum is σ = 6341182848. Its totient is φ = 371639808.

The previous prime is 1625934223. The next prime is 1625934257. The reversal of 1625934240 is 424395261.

It is a happy number.

1625934240 is a `hidden beast` number, since 1 + 62 + 593 + 4 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1625934223) and next prime (1625934257).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1625934195 and 1625934204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70572 + ... + 90731.

It is an arithmetic number, because the mean of its divisors is an integer number (44035992).

Almost surely, 2^1625934240 is an apocalyptic number.

1625934240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1625934240 is an abundant number, since it is smaller than the sum of its proper divisors (4715248608).

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

1625934240 is a wasteful number, since it uses less digits than its factorization.

1625934240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161331 (or 161320 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1625934240 is about 40322.8748975070. The cubic root of 1625934240 is about 1175.8926043812.

The spelling of 1625934240 in words is "one billion, six hundred twenty-five million, nine hundred thirty-four thousand, two hundred forty".