612919440 has 240 divisors, whose sum is σ = 2456271360. Its totient is φ = 140071680.

The previous prime is 612919427. The next prime is 612919441. The reversal of 612919440 is 44919216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 612919395 and 612919404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612919441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102945 + ... + 108735.

It is an arithmetic number, because the mean of its divisors is an integer number (10234464).

Almost surely, 2^612919440 is an apocalyptic number.

612919440 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 612919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228135680).

612919440 is an abundant number, since it is smaller than the sum of its proper divisors (1843351920).

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

612919440 is a wasteful number, since it uses less digits than its factorization.

612919440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 612919440 is about 24757.2098589482. The cubic root of 612919440 is about 849.4434372683.

The spelling of 612919440 in words is "six hundred twelve million, nine hundred nineteen thousand, four hundred forty".