1461079620 has 960 divisors, whose sum is σ = 6638962176. Its totient is φ = 258785280.

The previous prime is 1461079591. The next prime is 1461079639. The reversal of 1461079620 is 269701641.

1461079620 is a `hidden beast` number, since 14 + 6 + 10 + 7 + 9 + 620 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27567514 + ... + 27567566.

Almost surely, 2^1461079620 is an apocalyptic number.

1461079620 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 1461079620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319481088).

1461079620 is an abundant number, since it is smaller than the sum of its proper divisors (5177882556).

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

1461079620 is a wasteful number, since it uses less digits than its factorization.

1461079620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1461079620 is about 38224.0712117378. The cubic root of 1461079620 is about 1134.7267534244.

1461079620 divided by its sum of digits (36) gives a triangular number (40585545 = T₉₀₀₉).

The spelling of 1461079620 in words is "one billion, four hundred sixty-one million, seventy-nine thousand, six hundred twenty".