1506126960 has 400 divisors, whose sum is σ = 5936182560. Its totient is φ = 350853120.

The previous prime is 1506126953. The next prime is 1506126967. The reversal of 1506126960 is 696216051.

It is an interprime number because it is at equal distance from previous prime (1506126953) and next prime (1506126967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506126967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600090 + ... + 1601030.

Almost surely, 2^1506126960 is an apocalyptic number.

1506126960 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 1506126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968091280).

1506126960 is an abundant number, since it is smaller than the sum of its proper divisors (4430055600).

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

1506126960 is a wasteful number, since it uses less digits than its factorization.

1506126960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1506126960 is about 38808.8515676514. The cubic root of 1506126960 is about 1146.2707071351.

The spelling of 1506126960 in words is "one billion, five hundred six million, one hundred twenty-six thousand, nine hundred sixty".