1355214672 has 320 divisors, whose sum is σ = 4745728000. Its totient is φ = 361677312.

The previous prime is 1355214649. The next prime is 1355214673. The reversal of 1355214672 is 2764125531.

1355214672 = 528³ + 529³ + ... + 536³.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355214673) 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, 5917854 + ... + 5918082.

It is an arithmetic number, because the mean of its divisors is an integer number (14830400).

Almost surely, 2^1355214672 is an apocalyptic number.

1355214672 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 1355214672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372864000).

1355214672 is an abundant number, since it is smaller than the sum of its proper divisors (3390513328).

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

1355214672 is a wasteful number, since it uses less digits than its factorization.

1355214672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1355214672 is about 36813.2404441663. The cubic root of 1355214672 is about 1106.6306594630.

It can be divided in two parts, 13552 and 14672, that added together give a square (28224 = 168²).

The spelling of 1355214672 in words is "one billion, three hundred fifty-five million, two hundred fourteen thousand, six hundred seventy-two".