1047900672 has 640 divisors, whose sum is σ = 4124736000. Its totient is φ = 260112384.

The previous prime is 1047900671. The next prime is 1047900691. The reversal of 1047900672 is 2760097401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1047900671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61641208 + ... + 61641224.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^1047900672 is an apocalyptic number.

1047900672 is a gapful number since it is divisible by the number (12) 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 1047900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368000).

1047900672 is an abundant number, since it is smaller than the sum of its proper divisors (3076835328).

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

1047900672 is an equidigital number, since it uses as much as digits as its factorization.

1047900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1047900672 is about 32371.2939500416. The cubic root of 1047900672 is about 1015.7185241301.

The spelling of 1047900672 in words is "one billion, forty-seven million, nine hundred thousand, six hundred seventy-two".