612901440 has 168 divisors, whose sum is σ = 2144450880. Its totient is φ = 160625664.

The previous prime is 612901427. The next prime is 612901453. The reversal of 612901440 is 44109216.

612901440 is a `hidden beast` number, since 612 + 9 + 0 + 1 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (612901427) and next prime (612901453).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168117 + ... + 171723.

Almost surely, 2^612901440 is an apocalyptic number.

612901440 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 612901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072225440).

612901440 is an abundant number, since it is smaller than the sum of its proper divisors (1531549440).

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

612901440 is a wasteful number, since it uses less digits than its factorization.

612901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 612901440 is about 24756.8463258146. The cubic root of 612901440 is about 849.4351218027.

The spelling of 612901440 in words is "six hundred twelve million, nine hundred one thousand, four hundred forty".