45936720 has 240 divisors, whose sum is σ = 170614080. Its totient is φ = 11446272.

The previous prime is 45936707. The next prime is 45936731. The reversal of 45936720 is 2763954.

45936720 is a `hidden beast` number, since 4 + 593 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45936720² = 4220364488716800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330411 + ... + 330549.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^45936720 is an apocalyptic number.

45936720 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 45936720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

45936720 is an abundant number, since it is smaller than the sum of its proper divisors (124677360).

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

45936720 is a wasteful number, since it uses less digits than its factorization.

45936720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 45936720 is about 6777.6633141519. The cubic root of 45936720 is about 358.1404107839.

It can be divided in two parts, 45936 and 720, that added together give a 6-th power (46656 = 6⁶).

The spelling of 45936720 in words is "forty-five million, nine hundred thirty-six thousand, seven hundred twenty".