1612460640 has 288 divisors, whose sum is σ = 5957038080. Its totient is φ = 365546496.

The previous prime is 1612460621. The next prime is 1612460803. The reversal of 1612460640 is 460642161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1612460598 and 1612460607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4209889 + ... + 4210271.

It is an arithmetic number, because the mean of its divisors is an integer number (20684160).

Almost surely, 2^1612460640 is an apocalyptic number.

1612460640 is a gapful number since it is divisible by the number (10) 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 1612460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978519040).

1612460640 is an abundant number, since it is smaller than the sum of its proper divisors (4344577440).

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

1612460640 is a wasteful number, since it uses less digits than its factorization.

1612460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1612460640 is about 40155.4559182186. The cubic root of 1612460640 is about 1172.6355082116.

The spelling of 1612460640 in words is "one billion, six hundred twelve million, four hundred sixty thousand, six hundred forty".