1513920960 has 252 divisors, whose sum is σ = 5390488584. Its totient is φ = 389975040.

The previous prime is 1513920949. The next prime is 1513920977. The reversal of 1513920960 is 690293151.

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 35 ways as a sum of consecutive naturals, for example, 2767407 + ... + 2767953.

Almost surely, 2^1513920960 is an apocalyptic number.

1513920960 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 1513920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695244292).

1513920960 is an abundant number, since it is smaller than the sum of its proper divisors (3876567624).

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

1513920960 is a wasteful number, since it uses less digits than its factorization.

1513920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1513920960 is about 38909.1372302188. The cubic root of 1513920960 is about 1148.2445706676.

The spelling of 1513920960 in words is "one billion, five hundred thirteen million, nine hundred twenty thousand, nine hundred sixty".