610625040 has 160 divisors (see below), whose sum is σ = 2110043520. Its totient is φ = 145170432.

The previous prime is 610625003. The next prime is 610625051. The reversal of 610625040 is 40526016.

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 610625040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73582 + ... + 81458.

It is an arithmetic number, because the mean of its divisors is an integer number (13187772).

Almost surely, 2^610625040 is an apocalyptic number.

610625040 is a gapful number since it is divisible by the number (60) 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 610625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055021760).

610625040 is an abundant number, since it is smaller than the sum of its proper divisors (1499418480).

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

610625040 is a wasteful number, since it uses less digits than its factorization.

610625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929 (or 7923 counting only the distinct ones).

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

The square root of 610625040 is about 24710.8283956649. The cubic root of 610625040 is about 848.3821776211.

The spelling of 610625040 in words is "six hundred ten million, six hundred twenty-five thousand, forty".