1615461120 has 864 divisors, whose sum is σ = 7285404672. Its totient is φ = 321159168.

The previous prime is 1615461101. The next prime is 1615461139. The reversal of 1615461120 is 211645161.

1615461120 is a `hidden beast` number, since 1 + 6 + 1 + 546 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1615461101) and next prime (1615461139).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24111327 + ... + 24111393.

Almost surely, 2^1615461120 is an apocalyptic number.

1615461120 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 1615461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642702336).

1615461120 is an abundant number, since it is smaller than the sum of its proper divisors (5669943552).

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

1615461120 is a wasteful number, since it uses less digits than its factorization.

1615461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1615461120 is about 40192.7993551084. The cubic root of 1615461120 is about 1173.3624074522.

The spelling of 1615461120 in words is "one billion, six hundred fifteen million, four hundred sixty-one thousand, one hundred twenty".