1355772264 has 128 divisors (see below), whose sum is σ = 4285716480. Its totient is φ = 347155200.

The previous prime is 1355772263. The next prime is 1355772281. The reversal of 1355772264 is 4622775531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1355772263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126042 + ... + 136374.

It is an arithmetic number, because the mean of its divisors is an integer number (33482160).

Almost surely, 2^1355772264 is an apocalyptic number.

1355772264 is a gapful number since it is divisible by the number (14) 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 1355772264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142858240).

1355772264 is an abundant number, since it is smaller than the sum of its proper divisors (2929944216).

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

1355772264 is a wasteful number, since it uses less digits than its factorization.

1355772264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10431 (or 10427 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 1355772264 is about 36820.8129187828. The cubic root of 1355772264 is about 1106.7824100326.

The spelling of 1355772264 in words is "one billion, three hundred fifty-five million, seven hundred seventy-two thousand, two hundred sixty-four".