45487680 has 168 divisors, whose sum is σ = 168176448. Its totient is φ = 10386432.

The previous prime is 45487661. The next prime is 45487697. The reversal of 45487680 is 8678454.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 46557 + ... + 47523.

Almost surely, 2^45487680 is an apocalyptic number.

45487680 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 45487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088224).

45487680 is an abundant number, since it is smaller than the sum of its proper divisors (122688768).

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

45487680 is a wasteful number, since it uses less digits than its factorization.

45487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 45487680 is about 6744.4555006316. The cubic root of 45487680 is about 356.9696244821.

The spelling of 45487680 in words is "forty-five million, four hundred eighty-seven thousand, six hundred eighty".