1013498640 has 480 divisors, whose sum is σ = 4309224192. Its totient is φ = 207360000.

The previous prime is 1013498617. The next prime is 1013498687. The reversal of 1013498640 is 468943101.

1013498640 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 9 + 8 + 640 = 666.

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 = 1013498595 and 1013498604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5599350 + ... + 5599530.

Almost surely, 2^1013498640 is an apocalyptic number.

1013498640 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 1013498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154612096).

1013498640 is an abundant number, since it is smaller than the sum of its proper divisors (3295725552).

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

1013498640 is a wasteful number, since it uses less digits than its factorization.

1013498640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1013498640 is about 31835.4933996632. The cubic root of 1013498640 is about 1004.4794512226.

The spelling of 1013498640 in words is "one billion, thirteen million, four hundred ninety-eight thousand, six hundred forty".