1263578940 has 120 divisors (see below), whose sum is σ = 4268880000. Its totient is φ = 311029632.

The previous prime is 1263578909. The next prime is 1263578993. The reversal of 1263578940 is 498753621.

1263578940 is a `hidden beast` number, since 1 + 2 + 635 + 7 + 8 + 9 + 4 + 0 = 666.

1263578940 is digitally balanced in base 6 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1263578940² = 3193263475223047200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1263578940 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8940 + ... + 51059.

It is an arithmetic number, because the mean of its divisors is an integer number (35574000).

It is a 1-persistent number, because it is pandigital, but 2⋅1263578940 = 2527157880 is not.

Almost surely, 2^1263578940 is an apocalyptic number.

1263578940 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 1263578940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134440000).

1263578940 is an abundant number, since it is smaller than the sum of its proper divisors (3005301060).

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

1263578940 is a wasteful number, since it uses less digits than its factorization.

1263578940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60033 (or 60022 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1263578940 is about 35546.8555571375. The cubic root of 1263578940 is about 1081.1039637489.

The spelling of 1263578940 in words is "one billion, two hundred sixty-three million, five hundred seventy-eight thousand, nine hundred forty".