1053633420 has 144 divisors (see below), whose sum is σ = 3787999488. Its totient is φ = 240822720.

The previous prime is 1053633403. The next prime is 1053633461. The reversal of 1053633420 is 243363501.

It is a happy number.

1053633420 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 633 + 4 + 20 = 666.

It is a super-2 number, since 2×1053633420² = 2220286767481792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18535 + ... + 49505.

It is an arithmetic number, because the mean of its divisors is an integer number (26305552).

Almost surely, 2^1053633420 is an apocalyptic number.

1053633420 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 1053633420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893999744).

1053633420 is an abundant number, since it is smaller than the sum of its proper divisors (2734366068).

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

1053633420 is a wasteful number, since it uses less digits than its factorization.

1053633420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31002 (or 30988 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1053633420 is about 32459.7199618235. The cubic root of 1053633420 is about 1017.5673864258.

Adding to 1053633420 its reverse (243363501), we get a palindrome (1296996921).

It can be divided in two parts, 10536 and 33420, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 1053633420 in words is "one billion, fifty-three million, six hundred thirty-three thousand, four hundred twenty".