1013678400 has 168 divisors, whose sum is σ = 3800937280. Its totient is φ = 231690240.

The previous prime is 1013678399. The next prime is 1013678411. The reversal of 1013678400 is 48763101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18516 + ... + 48684.

Almost surely, 2^1013678400 is an apocalyptic number.

1013678400 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 1013678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900468640).

1013678400 is an abundant number, since it is smaller than the sum of its proper divisors (2787258880).

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

1013678400 is a wasteful number, since it uses less digits than its factorization.

1013678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30201 (or 30186 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1013678400 is about 31838.3165384101. The cubic root of 1013678400 is about 1004.5388344800.

The spelling of 1013678400 in words is "one billion, thirteen million, six hundred seventy-eight thousand, four hundred".