1601262540 has 96 divisors (see below), whose sum is σ = 5004034560. Its totient is φ = 425089728.

The previous prime is 1601262529. The next prime is 1601262541. The reversal of 1601262540 is 452621061.

1601262540 is a `hidden beast` number, since 1 + 60 + 1 + 2 + 62 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1601262541) 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, 116049 + ... + 129111.

It is an arithmetic number, because the mean of its divisors is an integer number (52125360).

Almost surely, 2^1601262540 is an apocalyptic number.

1601262540 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 1601262540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502017280).

1601262540 is an abundant number, since it is smaller than the sum of its proper divisors (3402772020).

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

1601262540 is a wasteful number, since it uses less digits than its factorization.

1601262540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13308 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1601262540 is about 40015.7786379323. The cubic root of 1601262540 is about 1169.9146551817.

The spelling of 1601262540 in words is "one billion, six hundred one million, two hundred sixty-two thousand, five hundred forty".