712401984 has 252 divisors, whose sum is σ = 2434736304. Its totient is φ = 198471168.

The previous prime is 712401971. The next prime is 712401997. The reversal of 712401984 is 489104217.

It is an interprime number because it is at equal distance from previous prime (712401971) and next prime (712401997).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1213339 + ... + 1213925.

It is an arithmetic number, because the mean of its divisors is an integer number (9661652).

Almost surely, 2^712401984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217368152).

712401984 is an abundant number, since it is smaller than the sum of its proper divisors (1722334320).

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

712401984 is a wasteful number, since it uses less digits than its factorization.

712401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 712401984 is about 26690.8595590326. The cubic root of 712401984 is about 893.1170358243.

The spelling of 712401984 in words is "seven hundred twelve million, four hundred one thousand, nine hundred eighty-four".