1072954400 has 72 divisors (see below), whose sum is σ = 2993558400. Its totient is φ = 367868160.

The previous prime is 1072954387. The next prime is 1072954409. The reversal of 1072954400 is 44592701.

It is a happy number.

It is a super-2 number, since 2×1072954400² = 2302462288958720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1072954409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90200 + ... + 101399.

It is an arithmetic number, because the mean of its divisors is an integer number (41577200).

Almost surely, 2^1072954400 is an apocalyptic number.

1072954400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072954400 is an abundant number, since it is smaller than the sum of its proper divisors (1920604000).

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

1072954400 is a wasteful number, since it uses less digits than its factorization.

1072954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191626 (or 191613 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1072954400 is about 32755.9826596608. The cubic root of 1072954400 is about 1023.7496234375.

The spelling of 1072954400 in words is "one billion, seventy-two million, nine hundred fifty-four thousand, four hundred".