1013292720 has 240 divisors, whose sum is σ = 3837358560. Its totient is φ = 245583360.

The previous prime is 1013292713. The next prime is 1013292739. The reversal of 1013292720 is 272923101.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259422 + ... + 263298.

It is an arithmetic number, because the mean of its divisors is an integer number (15988994).

Almost surely, 2^1013292720 is an apocalyptic number.

1013292720 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 1013292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918679280).

1013292720 is an abundant number, since it is smaller than the sum of its proper divisors (2824065840).

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

1013292720 is a wasteful number, since it uses less digits than its factorization.

1013292720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1013292720 is about 31832.2591092747. The cubic root of 1013292720 is about 1004.4114174465.

The spelling of 1013292720 in words is "one billion, thirteen million, two hundred ninety-two thousand, seven hundred twenty".