45691520 has 192 divisors, whose sum is σ = 133954560. Its totient is φ = 14837760.

The previous prime is 45691519. The next prime is 45691537. The reversal of 45691520 is 2519654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972137 + ... + 972183.

It is an arithmetic number, because the mean of its divisors is an integer number (697680).

Almost surely, 2^45691520 is an apocalyptic number.

45691520 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 45691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

45691520 is an abundant number, since it is smaller than the sum of its proper divisors (88263040).

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

45691520 is a wasteful number, since it uses less digits than its factorization.

45691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 45691520 is about 6759.5502808989. The cubic root of 45691520 is about 357.5020489882.

The spelling of 45691520 in words is "forty-five million, six hundred ninety-one thousand, five hundred twenty".