46531968 has 96 divisors (see below), whose sum is σ = 143838360. Its totient is φ = 13289472.

The previous prime is 46531939. The next prime is 46531987. The reversal of 46531968 is 86913564.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17580 + ... + 20052.

Almost surely, 2^46531968 is an apocalyptic number.

46531968 is a gapful number since it is divisible by the number (48) 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 46531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71919180).

46531968 is an abundant number, since it is smaller than the sum of its proper divisors (97306392).

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

46531968 is a wasteful number, since it uses less digits than its factorization.

46531968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2485 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 46531968 is about 6821.4344532510. The cubic root of 46531968 is about 359.6807045447.

The spelling of 46531968 in words is "forty-six million, five hundred thirty-one thousand, nine hundred sixty-eight".