1506401160 has 128 divisors (see below), whose sum is σ = 4942080000. Its totient is φ = 364296960.

The previous prime is 1506401101. The next prime is 1506401167. The reversal of 1506401160 is 611046051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1506401160.

It is not an unprimeable number, because it can be changed into a prime (1506401167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657537 + ... + 659823.

It is an arithmetic number, because the mean of its divisors is an integer number (38610000).

Almost surely, 2^1506401160 is an apocalyptic number.

1506401160 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 1506401160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471040000).

1506401160 is an abundant number, since it is smaller than the sum of its proper divisors (3435678840).

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

1506401160 is a wasteful number, since it uses less digits than its factorization.

1506401160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1506401160 is about 38812.3841061072. The cubic root of 1506401160 is about 1146.3402648736.

The spelling of 1506401160 in words is "one billion, five hundred six million, four hundred one thousand, one hundred sixty".