1013379840 has 324 divisors, whose sum is σ = 3859210992. Its totient is φ = 245329920.

The previous prime is 1013379803. The next prime is 1013379853. The reversal of 1013379840 is 489733101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1013379795 and 1013379804.

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, 1393557 + ... + 1394283.

Almost surely, 2^1013379840 is an apocalyptic number.

1013379840 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 1013379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929605496).

1013379840 is an abundant number, since it is smaller than the sum of its proper divisors (2845831152).

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

1013379840 is a wasteful number, since it uses less digits than its factorization.

1013379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1013379840 is about 31833.6275030038. The cubic root of 1013379840 is about 1004.4402020919.

The spelling of 1013379840 in words is "one billion, thirteen million, three hundred seventy-nine thousand, eight hundred forty".