1081374624 has 480 divisors, whose sum is σ = 3872727936. Its totient is φ = 291962880.

The previous prime is 1081374587. The next prime is 1081374629. The reversal of 1081374624 is 4264731801.

1081374624 is a `hidden beast` number, since 10 + 8 + 13 + 7 + 4 + 624 = 666.

It is a super-2 number, since 2×1081374624² = 2338742154862282752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1081374629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11148144 + ... + 11148240.

Almost surely, 2^1081374624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081374624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936363968).

1081374624 is an abundant number, since it is smaller than the sum of its proper divisors (2791353312).

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

1081374624 is a wasteful number, since it uses less digits than its factorization.

1081374624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1081374624 is about 32884.2610377670. The cubic root of 1081374624 is about 1026.4206749338.

The spelling of 1081374624 in words is "one billion, eighty-one million, three hundred seventy-four thousand, six hundred twenty-four".