1013238720 has 560 divisors, whose sum is σ = 4048036608. Its totient is φ = 238878720.

The previous prime is 1013238701. The next prime is 1013238739. The reversal of 1013238720 is 278323101.

It is an interprime number because it is at equal distance from previous prime (1013238701) and next prime (1013238739).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10445712 + ... + 10445808.

Almost surely, 2^1013238720 is an apocalyptic number.

1013238720 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 1013238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024018304).

1013238720 is an abundant number, since it is smaller than the sum of its proper divisors (3034797888).

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

1013238720 is a wasteful number, since it uses less digits than its factorization.

1013238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1013238720 is about 31831.4109018121. The cubic root of 1013238720 is about 1004.3935748958.

The spelling of 1013238720 in words is "one billion, thirteen million, two hundred thirty-eight thousand, seven hundred twenty".