45987840 has 144 divisors (see below), whose sum is σ = 159705000. Its totient is φ = 12238848.

The previous prime is 45987829. The next prime is 45987841. The reversal of 45987840 is 4878954.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45987840² = 4229762855731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45987841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91911 + ... + 92409.

Almost surely, 2^45987840 is an apocalyptic number.

45987840 is a gapful number since it is divisible by the number (40) 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 45987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79852500).

45987840 is an abundant number, since it is smaller than the sum of its proper divisors (113717160).

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

45987840 is a wasteful number, since it uses less digits than its factorization.

45987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 45987840 is about 6781.4334767806. The cubic root of 45987840 is about 358.2732119553.

The spelling of 45987840 in words is "forty-five million, nine hundred eighty-seven thousand, eight hundred forty".